![]() ![]() The intercepts can be treated just as any other points on the line. You’ll need the slope formula to find the slope: Once you have the x and y intercepts for the line, you can find the slope of the line. How to Find the Slope From the X and Y Intercept Thus, the x-intercept for a line in point-slope form is (x 1 – y 1)/m, or the point (x 1 – y 1)/m, 0). To solve the x-intercept, set the value of y to 0 and solve for x.Ġ – y 1 = m(x – x 1) -y 1 = m(x – x 1) -y 1 / m = m(x – x 1) / m -y 1 / m + x 1 = x – x 1 + x 1 x 1 – y 1 / m = x -y 1 + mx 1 = mx – mx 1 + mx 1 -y 1 + mx 1 = mx (-y 1 + mx 1) / m = mx / m (mx 1 – y) / m = x X-Intercept of a Line in Point-Slope Form Recall the standard form equation from above:Īx + B(0) = C Ax = C Ax / A = C / A x = C / Aįor a line in standard form, the x-intercept is equal to C/A, or the point (C/A, 0). To find the x-intercept, set the value of y to 0 and solve for x.Ġ = mx + b 0 – b = mx + b -b -b = mx – b / m = mx / m – b / m = xįor a line in slope-intercept form, the x-intercept is equal to -b/m, or the point (-b/m, 0). Recall the slope-intercept form equation from above: X-Intercept of a Line in Slope-Intercept Form You can find the x-intercept of a line by following the same steps as solving the y-intercept, except that instead of setting the value of x to zero, you’ll be setting the value of y to 0. The x-intercept is the x-coordinate of the point on the line that has a y-coordinate equal to 0. The x-intercept of a line or curve is the point where the line crosses the x-axis. The y-intercept for a line expressed in point-slope form is equal to y 1 – mx 1 or the point (0, y 1 – mx 1). ![]() Like before, set the value of x to 0 to solve for y. The point-slope form equation is given by: Point-slope form is another commonly used linear equation format. In this variation of the equation, the y-intercept is slightly different:Ī(0) + By + C = 0 By + C = 0 By + C – C = -C By / B = – C / B y = – C / B Y-Intercept of a Line in Point-Slope Form Some uses of the standard form use an alternate version of the equation: So, the y-intercept of the line is equal to C/B or the point (0, C/B). To find the y-intercept for a line in standard form, set the value of x to 0 and solve the equation for y.Ī(0) + By = C By = C By / B = C / B y = C / B Standard form (or general form) is the standard format for the equation of a straight line. So the y-intercept is equal to b, or the point (0, b). ![]() In the slope-intercept formula, the variable b is equal to the y-intercept. Slope-intercept form is one of the most frequently used equations to express a straight line. Y-Intercept of a Line in Slope-Intercept Form For a line, you can use the following methods to calculate the point where the line crosses the y-axis. ![]() In this context, it means that $3 is the charge for every mile that is covered.Given the equation of a line, you can find the y-intercept by setting the value of the x variable in the equation equal to zero (0).įor example, given a linear function f(x) = y, you can find the y-intercept by setting x to 0 so that f(0) = b. From the given equation, as per the slope intercept formula, the value of m=3. In this context, the slope represents the increase in the price of the fare as the distance increases. We will first figure out the cost incurred for the distance traveled. What is the difference in cost when traveling 100 miles and 150 miles? Explain the meaning of slope in this context. Here, “x” represents the distance traveled in miles, and “y” represents the cost of traveling the given distance in dollars. The equation that represents the cost of taking a taxi is given as So, the equation of the line passing through the two points are: The formula to find the value of the slope, “m” is: The coordinates of the points in the question are: Find the equation of the line passing through the points (6,9) and (7,3). ![]()
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