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Question 821391: [ write, in slope-intercept form, the equation of the line passing through the given point and perpendicular to the given line. (5,9) f(x) = (-1/7)x + 8 ]
Found 2 solutions by mananth, TimothyLamb:
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website! 1 y = - 1/ 7 x + 8
Divide by 1
y = - 1/ 7 x + 8
Compare this equation with y=mx+b, m= slope & b= y intercept
slope m = - 1/7
The slope of a line perpendicular to the above line will be the negative reciprocal 7
Because m1*m2 =-1
The slope of the required line will be 7
m= 7 ,point ( 5 , 9 )
Find b by plugging the values of m & the point in
y=mx+b
9 = 35 + b
b= -26
m= 7
The required equation is y = 7 x -26
m.ananth@hotmail.ca
PARALLEL
Answer by TimothyLamb(4379)  (Show Source):
You can put this solution on YOUR website! ---
given:
f(x) = (-1/7)x + 8
(5,9)
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perpendicular lines have negative reciprocal slopes.
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therefore, the slope of the perpendicular line = 7
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to solve the linear equation, copy and paste this (the given point and the perpendicular slope):
5,9,7
into the "Point-Slope form: x1 y1 m" input box here: https://sooeet.com/math/linear-equation-solver.php
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y-intercept = -26
slope = 7
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answer:
slope-intercept form:
y = 7x - 26
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