Question 827564: Find an equation of the line that passes through the given point and is perpendicular to the given line. Write the equation in slope-intercept form.
(8, -4)
5x = 7y - 6
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
given:
point = (8, -4)
line = 5x = 7y - 6
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7y = 5x + 6
y = (5/7)x + 6/7
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perpendicular slope = -7/5 = -1.4
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to solve the linear equation, copy and paste this (the given point and perpendicular slope):
8, -4, -1.4
into the "Point-Slope form: x1 y1 m" input box here: https://sooeet.com/math/linear-equation-solver.php
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x-intercept = (5.14285714, 0)
y-intercept = (0, 7.2)
slope = -1.4
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answer:
the slope-intercept form of our new line:
y = -1.4x + 7.2
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