Question 829011: consider the line y=7/2x-5
Find the equation of the line that is perpendicular to this line and passes through the point (7,-3)
Find the equation of the line that is parallel to this line and passes through the point (7,-3)
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
given:
line: y=7/2x-5
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find perpendicular line passing through: (7,-3)
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perpendicular slope = -2/7 = -0.285714285714286
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to solve the linear equation, copy and paste this (the given point and perpendicular slope):
7,-3,-0.285714285714286
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 = (-3.5, 0)
y-intercept = (0, -1)
slope = -2/7
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answer:
the slope-intercept form of our new perpendicular line:
y = (-2/7)x - 1
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find parallel line passing through: (7,-3)
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parallel slope = 7/2 = 3.500000000000000
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to solve the linear equation, copy and paste this (the given point and parallel slope):
7,-3,3.500000000000000
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 = (7.85714286, 0)
y-intercept = (0, -27.5)
slope = 7/2
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answer:
the slope-intercept form of our new parallel line:
y = (7/2)x - 27.5
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