To find the y -intercept, we need to "zoom in" on the table to find where x = 0 . The point ( 0, − 10.5) is our y -intercept. Want to learn more about finding intercepts from tables? Check out this video. Example: Intercepts from an equation. We're asked to determine the intercepts of the graph described by the following linear equation: How to find the y-intercept of a parabola. Since the y-intercept marks the point where x =0, all that you have to do is substitute 0 in for x in the parabola's equation . How to find the x and y intercepts of a parbola explained with pictures and an interactive applet.Jun 12, 2023 · To find the x intercept using the equation of the line, plug in 0 for the y variable and solve for x. You can also use the graph of the line to find the x intercept. Just look on the graph for the point where the line crosses the x-axis, which is the horizontal axis. That point is the x intercept. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:form... f (x) Free y intercept calculator - find function's y-axis intercept step-by-step. This slope-intercept form of a line makes is easy to find the y-intercept. More Practice: Find the x-and y-intercepts for ; Since this equation is in slope-intercept form, we can find the y-intercept by looking at the equation. The y-intercept is 4 and is written as . To find the x-intercept, let y = 0 in the equation. The x-intercept is ...Apr 17, 2021 ... Step 4: Pick one of the points you used to calculate the slope, and substitute the y and x values into the slope-intercept form of a linear ...The y-intercept, #b#, is found by plugging in #x=0# into the equation, which results in #y=b#, and therefore is the y-intercept. In some cases, if the equation is already arranged for you nicely, like #y=3x+5# , we can easily find the y-intercept for this line, which is #5# .Patriot missiles are designed to detect, target and then hit an incoming missile. How do the systems do that? Advertisement The MIM-104 Patriot (Phased Array Tracking Radar to Inte...As a result, you can see a graph of your quadratic function, together with the points indicating the vertex, y-intercept, and zeros. Below the chart, you can find the detailed descriptions: Both the vertex and standard form of the parabola: y = 0.25(x + 17)² - 54 and y = 0.25x² + 8.5x + 18.25 respectively;Another way to do this is by plugging the slope and a point to the slope-intercept equation (y = mx + b) to solve for the y-intercept. I'll use the point (-1, 2) ...Aug 17, 2019 ... How to Find the Equation of a Line Given two Points | Slope Intercept Form and Point Slope Form · Comments3.Just as you can graph a linear relation from the equation, you can find the equation from the graph. First, check for the y-intercept on the graph. Look for where the line crosses the y-axis and record that as “b.” Next, find any other point on the graph and determine the rise and …The intercept form of a line in the Cartesian plane with x-intercept a and y-intercept b is given by x/a+y/b=1. ... Line, Point-Slope Form, Slope-Intercept Form, Two-Point Form Explore with Wolfram|Alpha. More things to try: Cayley lines lines 3-state, 4-color Turing machine rule 8460623198949736; Cite this as:Presented By Avrum (Avi) Spira, M.D., M.Sc. Air Date Tuesday, July 21, 2020 Category CPFP Annual Advances in Cancer Prevention Lectures @NCIPrevention @NCISymptomMgmt @NCICastle Th...The general format of slope-intercept form equations is y=mx+b m is where you substitute the slope b is where you substitute the y-intercept So, if I had y …To find the y-intercept, find where the line hits the y-axis. To find the x-intercept (which wasn't mentioned in the text), find where the line hits the x-axis. To find the slope, find two …For each equation, you need to find at least two points. Then you draw a line that goes through the points. The easiest way to find the points is to just pick a value for one of the variables (x or y) and then solve for the other variable. For instance, take the equation y = -2x + 4 Let's say x = 0 y = -2x + 4 y = -2(0) + 4 y = 0 + 4 y = 4How Do You Find the X- and Y-Intercepts of a Line in Slope-Intercept Form? To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'. In this tutorial, you'll see how to find the x-intercept and the y-intercept for a given linear equation. Check it out!Step 1: Find the slope (m). Use the formula to find the slope between the two points. Once you know the slope, plug it in for m in y = mx + b. This gives you y = 3x + b. Step 2: Find the y-intercept (b). Pick one of the points on the line and use the x and y values to find b. It does not matter which point you choose.Let me further explain using my example in 3 straightforward steps: Step 1: You take the ordered pairs (2,9) and (19,10) and take out the y2 and y1 numbers. That would be 10 and 9. Then take out the x2 and x1 numbers. That should be 19 and 2. Step 2: Next, you should minus the y2 and y1 numbers from each other.Feb 26, 2024 · 1. Plug the y-coordinates into the slope formula. Make sure you are not using the x-coordinates, and that you are substituting the correct y-coordinates for the first and second points. [5] For example, if the coordinates of your first point are. ( 3 , 2 ) {\displaystyle (3,2)} Tornado chasers generally stay about a mile away from the tornado itself -- but not IMAX cinematographer Sean Casey. He has built a Tornado Intercept Vehicle and hopes to withstand...Steps. Calculate the slope from 2 points. For Example, Two points are (3, 5) and (6, 11) Substitute the slope (m) in the slope-intercept form of the equation. Substitute either point into the equation. You can use either (3,5) or (6,11). Solve for b, which is the y-intercept of the line. Substitute b , into the equation.The y-intercept is the point in a function where the value of the x-coordinate is zero. By definition, a function has only one y-intercept. The x-intercept is the point in a functi...Mar 1, 2022 · Slope-intercept equation given slope and y-intercept (example) Instead of being given two points, we may need to know how to find slope-intercept form with slope and the y-intercept. In this example, we will use a slope of -4 and a y-intercept of \frac{1}{5}. Remember, the slope is represented by m and the y-intercept is represented by b. 1. Pick two points on the line. Draw dots on the graph to represent these points, and note their coordinates. Remember when graphing points to list the x-coordinate first, then the y-coordinate. For example, you …The x-intercept is (-1/2, 0) creating the second point needed to find the slope. I will now solve the given equation for y. -2x + y = 1. y= 2x + 1. The equation I need to find can be …Algebra. Graph y=2x. y = 2x y = 2 x. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps... Slope: 2 2. y-intercept: (0,0) ( 0, 0) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.The y-intercept is at the coordinate that has a 0 for the x-coordinate. X is 0 here and y is -3. X is 0 and y is -3. This was actually one of the points, or one of the pairs that we first tried out. You can validate that 6, 0 satisfies this equation right over here. If x is 6, 1/2 x 6 is 3, -3 is indeed equal to 0. Step 1: Find the slope (m). Use the formula to find the slope between the two points. Once you know the slope, plug it in for m in y = mx + b. This gives you y = 3x + b. Step 2: Find the y-intercept (b). Pick one of the points on the line and use the x and y values to find b. It does not matter which point you choose. Every point on the line has x coordinate 1.5, ... You can see the effect of different values of m (the slope) and b (the y intercept) at Explore the Straight Line Graph . After the news of Ryanair's diverted flight to Belarus, we explain how airline pilots handle military interventions. As I write this, the aviation world is still trying to get its ...A coordinate plane. The x- and y-axes both scale by one. The graph is the function x squared minus x minus six. The function is a parabola that opens up. The vertex of the function is plotted at the point zero point five, negative six point two-five. The x-intercepts are also plotted at negative two, zero and three, zero.The points where a line crosses the x - axis and the y - axis are called the intercepts of a line. Let’s look at the graphs of the lines in Figure 4.3.1 4.3. 1. Figure 4.3.1 4.3. 1: Examples of graphs crossing the x-negative axis. First, notice where each of these lines crosses the x negative axis.The y-intercept is at the coordinate that has a 0 for the x-coordinate. X is 0 here and y is -3. X is 0 and y is -3. This was actually one of the points, or one of the pairs that we first tried out. You can validate that 6, 0 satisfies this equation right over here. If x is 6, 1/2 x 6 is 3, -3 is indeed equal to 0.Dec 20, 2023 · Consequently, press ENTER to get the intercept of the 2nd trend line. At this time, I will find out the coordinates of that intersection point. So, in the C16 cell, use the following formula. = (E13-C13)/ (C12-E12) Then, press ENTER , and you will get the abscissa (X) of that point. The procedure to use the y-intercept calculator is as follows: Step 1: Enter the coefficients A, B, C of the standard equation in the respective input field. Step 2: Now click the button “Solve ” to get the y-intercept. Step 3: Finally, the y-intercept of the standard equation will be …Find the slope intercept form of a line given two points, a function or the intercept step-by-step. slope-intercept-form-calculator. en. Related Symbolab blog posts. High School Math Solutions – Perpendicular & Parallel Lines Calculator.plot the point (8, 5 8/9) which is just below of (5,6) and then draw a line through the two points. The other method you can use is to plot the y-intercept. The equation y=5/8x+8/9 is is slope y-intercept form. so the y intercept is at (0,8/9). Plot that point. The slope is 5/8, so from your y-intercept point, count right 8 and then go up 5.Say your two points are (-1,-2) and (3,4). Your y intercept is where the line your two points make crosses the y axis. You find this by taking one of your coordinates, (3,4) and you substitute it into the equation y = mx + c. y = mx + c 4 = 3x + c 4 - 3 = c c = 1 The first number in your coordinate is your x value and the second is your y value ...f (x) Free y intercept calculator - find function's y-axis intercept step-by-step.The formula for finding the x-value of the vertex of a quadratic equation is . Plug in the relevant values to find x. Substitute the values for a and b. Show your work: 3. Plug the value into the original equation to get the value. Now that you know the value, just plug it in to the original formula for the value.A vertical intercept is a point where a line crosses the vertical axis, or y-axis, on the Cartesian coordinate plane. When evaluating a function, the vertical intercept can be foun...This slope-intercept form of a line makes is easy to find the y-intercept. More Practice: Find the x-and y-intercepts for ; Since this equation is in slope-intercept form, we can find the y-intercept by looking at the equation. The y-intercept is 4 and is written as . To find the x-intercept, let y = 0 in the equation. The x-intercept is ...Recall that in the general slope-intercept equation y = m x + b , the slope is given by m and the y -intercept is given by b . Therefore, the slope of y = 2 x + 3 is 2 and the y -intercept is ( 0, 3) . In order to graph a line, we need two points on that line. We already know that ( 0, 3) is on the line. Additionally, because the slope of the ...Jan 18, 2024 · We will assume you know two points that the straight line goes through. The first one will have coordinates (x₁, y₁) and the second one (x₂, y₂). Your unknowns are the slope m and the y-intercept b. Firstly, substitute the coordinates of the two points into the slope intercept equation: (1) y₁ = mx₁ + b (2) y₂ = mx₂ + b How to find the slope and the y-intercept. Given at least two points on a line, the slope of the line can be found using the slope formula: For example, given the that (1, 5) and (-2, 7) are points on the same line, the slope of the line can be found as follows: The y-intercept can be found in a number of ways.Let me further explain using my example in 3 straightforward steps: Step 1: You take the ordered pairs (2,9) and (19,10) and take out the y2 and y1 numbers. That would be 10 and 9. Then take out the x2 and x1 numbers. That should be 19 and 2. Step 2: Next, you should minus the y2 and y1 numbers from each other.Jan 23, 2022 ... The way to solve this is noting that, given any two points (x,y) and (x',y') in the line, you can calculate the slope of the line through the ...Aug 17, 2019 ... How to Find the Equation of a Line Given two Points | Slope Intercept Form and Point Slope Form · Comments3.AboutTranscript. The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations.Let's explore different ways to find and visualize slopes and intercepts, and how these concepts can help us solve real-world problems. ... Slope from two points Get 3 of 4 questions to level up! Quiz 1. Level up on the above skills and collect up to 480 Mastery points Start quiz. Horizontal & vertical lines. Learn. Slope of a horizontal …Sep 6, 2020 · Last updated on February 2nd, 2022. The y-intercept of an equation is a point where the graph of the equation intersects the Y-axis. There are a few different ways to find the y-intercept with 2 points. Here is how you can find the Y-intercept with the equation from 2 points using the slope-intercept form. Slope: m = y2 −y1 x2 −x1 (2.1.1) The slope determines how fast a line grows. When the slope m is negative the line declines towards the right. From Equation 2.1.1, we see that for a given slope m and a point P1(x1,y1) on the line, any other point (x, y) on the line satisfies m = y −y1 x −x1. Use the slope that we found, together with ANY of the two given points. In this exercise, I will show you that we should arrive at the same value of the [latex]y[/latex]-intercept regardless of which point is selected for the calculation. Finding the [latex]y[/latex]-intercept. Using the first point [latex]\left( {4,\,5} \right)[/latex]. This video explains how to find the x and y intercepts of a line, an equation, and a quadratic function.Access Full-Length Premium Videos: htt...AboutTranscript. Learn how to write an equation in slope-intercept form (y=mx+b) for the line with a slope of -3/4 that goes through the point (0,8). We identify the slope (m) and y-intercept (b) to create our equation y = (-3/4)*x + 8. Created by Sal Khan and Monterey Institute for Technology and Education.The term "intercept" refers to the x- and y-intercepts of of a given equation. The x-intercept is the point at which a line crosses the x-axis and the y-intercept is the point at which a line crosses the y-axis. The figure below shows an example of an x-intercept (green dot) and a y-intercept (red dot).Jan 24, 2024 ... Finding Intercept Form Two Point Form of Line · y-Intercept is given by x1 – y1(x2 – x1)/(y2 – y1) · y-Intercept is given by -x1(y2 – y1)/(x2 – x1&nb...Feb 10, 2023 · Here's how to find the two x-values for lines that intersect at two points: Example (factoring): We ended up with the equation. ( x − 2 ) ( x + 3 ) = 0 {\displaystyle (x-2) (x+3)=0} If either of the factors in parentheses equal 0, the equation is true. One solution is. x − 2 = 0 {\displaystyle x-2=0} →. In Understand Slope of a Line, we graphed a line using the slope and a point. When we are given an equation in slope–intercept form, we can use the -intercept as the point, and then count out the slope from there. Let’s practice finding the values of the slope and -intercept from the equation of a line. Example.the x value to 0 to find the y intercept and then the y value to 0 for the x intercept. Plot the points on the graph and draw a line through them. (3) Given the Slope-Intercept Form ( y = mx + b ), plot the y intercept. (0,b) and use the slope m to find the rest of the points on the graph.Answer Slope: -2/3 y-intercept: (0,-2) Explanation There are two simple ways to solve this problem: 1) Algebra 2) Graphing Let's look at both 1) We can turn the question into the slope-intercept y=mx+b form. This is helpful because, when a line is in this form, the slope and y-intercept can immediately be seen. In y=mx+b, m= slope, and b= y-intercept value.From 2 points (line only) With 2 points, can be calculated the equation of the line (see the linear equation calculator) and thus to deduce the y-intercept (see above). From the slope coefficient and 1 point (line only). Knowing the slope coefficient of a line and a point, can be deduced from the equation of the line (see the linear equation calculation) and thus deduce the y-intercept …Presented By Avrum (Avi) Spira, M.D., M.Sc. Air Date Tuesday, July 21, 2020 Category CPFP Annual Advances in Cancer Prevention Lectures @NCIPrevention @NCISymptomMgmt @NCICastle Th...Find the equation of a line through two points using slope intercept form. Brian McLogan. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now:...Feb 10, 2023 · Here's how to find the two x-values for lines that intersect at two points: Example (factoring): We ended up with the equation. ( x − 2 ) ( x + 3 ) = 0 {\displaystyle (x-2) (x+3)=0} If either of the factors in parentheses equal 0, the equation is true. One solution is. x − 2 = 0 {\displaystyle x-2=0} →. Recall that in the general slope-intercept equation y = m x + b , the slope is given by m and the y -intercept is given by b . Therefore, the slope of y = 2 x + 3 is 2 and the y -intercept is ( 0, 3) . In order to graph a line, we need two points on that line. We already know that ( 0, 3) is on the line. Additionally, because the slope of the ... The general format of slope-intercept form equations is y=mx+b m is where you substitute the slope b is where you substitute the y-intercept So, if I had y-intercept = 7 and slope = -2, the equation would be: y=-2x+7 So if we simplify this a little bit, we get 8 is equal to-- let's see, 5 times 17 is 50, plus 35 is 85-- is 85/13 plus b. Then to solve for b, we just subtract 85/13 from both sides. So we have 8 minus 85/13. 85/13 Is equal to b. And now we just have to subtract these two numbers. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/algebra-home/alg-linear-eq-fun... Recall that in the general slope-intercept equation y = m x + b , the slope is given by m and the y -intercept is given by b . Therefore, the slope of y = 2 x + 3 is 2 and the y -intercept is ( 0, 3) . In order to graph a line, we need two points on that line. We already know that ( 0, 3) is on the line. Additionally, because the slope of the ... The slope–intercept form of an equation of a line with slope m and y -intercept, (0, b) is, y = mx + b. Sometimes the slope–intercept form is called the “ y -form.”. Example 4.5.1. Use the graph to find the slope and y -intercept of the line, y = 2x + 1. Compare these values to the equation y = mx + b. Solution. The y-intercept is an (x,y) point with x=0, so we show it like this (try dragging the points): Mathopolis: Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10. Equation of a Straight Line Gradient (Slope) of a Straight Line Test Yourself Straight Line Graph Calculator Graph Index. Algebra. Slope and Y-Intercept Calculator. Step 1: Enter the linear equation you want to find the slope and y-intercept for into the editor. The slope and y-intercept calculator takes a linear …Indices Commodities Currencies Stocks The y-intercept is the point at which the graph crosses the y-axis. At this point, the x-coordinate is zero. To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. For example, lets find the intercepts of the equation [latex]y=3x - 1[/latex]. To find ... \(y - y_1 = m(x - x_1)\) y - 3 = 1(x + 2) y = x + 5. How do you Find the Y Intercept With Two Points and Slope Using Two Point Form? We can follow the steps given below to find y-intercept using two point form, First, find the equation of the line using the two-point form and solve it for y. Compare it with y = mx + b. Here, b is the y-intercept. Step 3: Plot the \(y\)-intercept and use the slope to find another ordered pair solution. Starting from the \(y\)-intercept, mark off the slope and identify a second point. In this case, mark a point after a rise of \(1\) unit and a run of \(2\) units. Figure \(\PageIndex{11}\) Step 4: Draw the line through the two points with …Apr 17, 2021 ... Step 4: Pick one of the points you used to calculate the slope, and substitute the y and x values into the slope-intercept form of a linear ... Find an Equation of the Line Given the Slope and y -Intercept. We can easily determine the slope and intercept of a line if the equation is written in slope-intercept form, y = mx + b. y = m x + b. Now we will do the reverse—we will start with the slope and y -intercept and use them to find the equation of the line. The y-intercept is the point at which the graph crosses the y-axis. At this point, the x-coordinate is zero. To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. For example, lets find the intercepts of the equation [latex]y=3x - 1[/latex]. To …Using Slope Intercept Form. Find the equation of a line through the points (3, 7) and (5, 11) Step 1. Calculate the slope from 2 points . slope y2−y1 x2−x1 11−75−3 42 = 2 slope y 2 − y 1 x 2 − x 1 11 − 7 5 − 3 4 2 = 2. Step 2. Substitute the slope for 'm' in the slope intercept form of the equation . y = mx + b y = 2x + b y = m ...Want some practice finding the y-intercept of a line? In this tutorial, you're given the slope of a line and a point on that line and asked to find the y-intercept. Watch this tutorial and see how the equation for the slope-intercept form of a line is used to figure out the answer!To find the equation of this line, follow three steps: Figure 1. Step 1. Find the slope using the slope formula: m = y 2 − y 1 x 2 − x 1. m = y 2 − y 1 x 2 − x 1 Slope formula m = 13 − ( − 3) − 5 − 3 Substitute values of x & y m = 16 − 8 Simplify numerator and denominator m = − 2 Simplify the fraction. The slope is -2 for ...
The slope–intercept form of an equation of a line with slope mm and y -intercept, (0, b) is, y = mx + b. Sometimes the slope–intercept form is called the “ y -form.”. Exercise 6.6.1. Use the graph to find the slope and y -intercept of the line, y = 2x + 1. Compare these values to the equation y = mx + b. Answer.. Royal caribbean diamond benefits
Another way to do this is by plugging the slope and a point to the slope-intercept equation (y = mx + b) to solve for the y-intercept. I'll use the point (-1, 2) ...Mar 1, 2022 · Slope-intercept equation given slope and y-intercept (example) Instead of being given two points, we may need to know how to find slope-intercept form with slope and the y-intercept. In this example, we will use a slope of -4 and a y-intercept of \frac{1}{5}. Remember, the slope is represented by m and the y-intercept is represented by b. The linear equation written in the form. [latex]\large {y = mx + b} [/latex] is in slope-intercept form where: [latex]m [/latex] is the slope, and [latex]b [/latex] is the [latex]y [/latex] -intercept. Quick notes: The slope [latex]m [/latex] …Nov 29, 2023 ... You can rewrite the equation of a line given in standard form as an equation in slope-intercept form by solving for y . This will allow you to ...How to find the y-intercept of a parabola. Since the y-intercept marks the point where x =0, all that you have to do is substitute 0 in for x in the parabola's equation . How to find the x and y intercepts of a parbola explained with pictures and an interactive applet.The y-intercept is 1 Step 1. Find the slope using the equation m=(y_2-y_1)/(x_2-x_1), where m is the slope, and (x_1,y_1) and (x_2,y_2) are the two points on the line. …How To: Given the equation for a linear function, graph the function using the y-intercept and slope. Evaluate the function at an input value of zero to find the y-intercept. Identify the slope. Plot the point represented by the y-intercept. Use [latex]\dfrac{\text{rise}}{\text{run}}[/latex] to determine at least two more points on the line.The y-intercept is the y-coordinate when x=0, and the x-intercept is the x-coordinate when y=0. The y-intercept is not in the table. Since the table represents a line, there's a constant rate of change of y with respect to x. So we can find that pattern and fill in skipped values from the table to find the y-intercept. Created …I think the most useful form of straight-line equations is the "slope-intercept" form: y = mx + b y = mx+b. This is called the slope-intercept form because " m " is the slope and " b " gives the y - intercept. (For a review of how this equation is used for graphing, look at slope and graphing .) I like slope-intercept form the best.To do that, you take the point with the greatest x value, and subtract the x value of the other point: 4-3=1 Now let's find the rise aka how much the line goes up within the two points we picked. To do that, we take the y value of our first point, and subtract the y value of our second point: 5-3=2b = the y-intercept at the point (0, b) So, in your equation, your y-intercept = (0, -3). Start by graphing that point. Then use the slope to find more points. Your slope = 1/2. This means from the point (0, -3), go up 1 unit and right 2 units to find the next point. You can repeat this as many times as you want to find points on the line. \(y - y_1 = m(x - x_1)\) y - 3 = 1(x + 2) y = x + 5. How do you Find the Y Intercept With Two Points and Slope Using Two Point Form? We can follow the steps given below to find y-intercept using two point form, First, find the equation of the line using the two-point form and solve it for y. Compare it with y = mx + b. Here, b is the y-intercept. Indices Commodities Currencies StocksThe y -axis corresponds to the vertical line x = 0; the x -axis corresponds to the horizontal line y = 0. a y -intercept is a point on the graph where x is zero. a y -intercept is a solution to the equation when the x -value has been set to zero. This understanding of intercepts as solutions to equations allows us to establish the …As a result, you can see a graph of your quadratic function, together with the points indicating the vertex, y-intercept, and zeros. Below the chart, you can find the detailed descriptions: Both the vertex and standard form of the parabola: y = 0.25(x + 17)² - 54 and y = 0.25x² + 8.5x + 18.25 respectively; Step 1: Find the slope (m). Use the formula to find the slope between the two points. Once you know the slope, plug it in for m in y = mx + b. This gives you y = 3x + b. Step 2: Find the y-intercept (b). Pick one of the points on the line and use the x and y values to find b. It does not matter which point you choose. Answer: Therefore the area of the triangle formed by this line and the coordinate axes is 42 square units. Example 3: The equation of a line in the intercept form is x/2 + y/-3 = 1. Convert it into the slope-intercept form. Solution: The equation of …The intercept of a line is the point at which it crosses either the x or y axis. If we do not specify which one, the y-axis is assumed. It is usually designated by the letter b. Unless that line is exactly vertical, it will always cross the y-axis somewhere, even if it is way off the top or bottom of the chart. Formula for the intercept of a ...So if we simplify this a little bit, we get 8 is equal to-- let's see, 5 times 17 is 50, plus 35 is 85-- is 85/13 plus b. Then to solve for b, we just subtract 85/13 from both sides. So we have 8 minus 85/13. 85/13 Is equal to b. And now we just have to subtract these two numbers..