![]() I hope you find this useful if you have any questions send me a message. The slope and y-intercept calculator takes a linear equation and allows you to calculate the slope and y-intercept for the equation. It is easier to graph the lines in Slope Intercept Form, you can plug them in at You can graph the lines to check that they are perpendicular. You can set this line equal to zero to yield Then write the completed Perpendicular line in the Slope Intercept Form It is the point where the line crosses the y axis. The y-intercept of a line is the value of y when x0. Slope is the coefficient of x so in this case slope 3 How to Find the y-Intercept. This slope intercept form calculator is also available for you in C, C++, Java and PHP code. You want to get y by itself on one side of the equation, so you need to divide both sides by 2 to get y 3x - 6 This is slope intercept form, y 3x - 6. Subtract 7/4 for both sides of the equation to solve for b Slope and y-intercept can also be calculated with the other known values using the same formula. Use the coordinates (2, 4) in the Slope Intercept form of the Perpendicular line to solve for b Write the Perpendicular Line in the Slope Intercept form The slope of the perpendicular line is the inverse of the slope above with the opposite signħ/8 is the inverse of -8/7 with the opposite sign In the Slope Intercept Form, the coefficient of x is the slope m This application is designed for everyone from teachers to students to engineers e.t.c. Slope Intercept Form Calculator is a free online tool that displays the equation of a line using the slope-intercept form. This is the perpendicular line is set equal to zero belowįirst put the line above in the Slope Intercept Form by solving for y Y = (7/8)x + 9/4 is the Perpendicular Line in the Slope Intercept Form Is 8x + 7y - 4 = 0 in Slope Intercept Form Then multiply both sides of the equation by -8 to get an integer coefficient for standard form. If standard form (Ax + By = C) is required, then rewrite this in standard from by subtracting 7/8x from both sides. Put this in slope-intercept form (y = mx + b). Use two known points on the line, the slope and y-intercept, or the slope. The y-intercept (b) of the new line is 9/4. Express the equation of a line in slope-intercept form using the calculator below. Substitute values in for y, m, and x -> (4) = (7/8)(2) + b You will be solving for b, the y-intercept of your line. ![]() Let x = 2 (because that's the x-coordinate of the point). ![]() Let y = 4 (because that's the y-coordinate of the point). The line that has a slope of 7/8 and passes through the point (2,4) can be found by substituting the slope (7/8) and the point (2,4) in the equation y = mx + b. The line perpendicular to this will have the slope 7/8 because perpendicular lines have opposite reciprocal slopes (change the sign, flip the fraction). Substituting into the slope-intercept formula y mx + b y mx + b, we have. So the original line has a slope of -8/7. The slope is given as m 7 m 7 and the y y -intercept as b ,4 b 4. Subtract 8x from both sides -> 7y = -8x + 4ĭivide by 7 on both sides -> y = -8/7x + 4/7 You can use the calculator below to find the equation of a line from any two points. Rewrite the equation 8x + 7y − 4 = 0 in slope-intercept (y = mx+b) form.Īdd 4 to both sides -> 8x + 7y = 4
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