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Question 830826: Find an equation of the line that passes through the point (5, 3) and is perpendicular to the line
4x + 9y - 1 = 0
Answer by TimothyLamb(4379) (Show Source):
You can put this solution on YOUR website! ---
given:
4x + 9y - 1 = 0
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find perpendicular slope:
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9y = -4x + 1
y = (-4/9)x + 1/9
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perpendicular slope = 9/4
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find line:
through: (5, 3)
slope: 9/4 = 2.25
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to solve the linear equation, copy and paste this (the given point and perpendicular slope):
5, 3, 2.25
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 = (3.66666667, 0)
y-intercept = (0, -8.25)
slope = 9/4 = 2.25
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answer:
the slope-intercept form of our new perpendicular line:
y = (9/4)x - 8.25
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