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What is the equation in the slope intercept form of the line that passes through the point (2,-2) and is perpendicular to the line represent by y=2/5+2

What is the equation in the slope intercept form of the line that passes through the-example-1

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3 votes

Hello there,

Find the equation of the line perpendicular to the line 4y-x=8 that passes through the points (4,-4)

Answer: Option D


User Ofek Gila
by
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6 votes

Answer:

D

Explanation:

The slope is 2/5 and the slope of the new line will be -5/2 because the negative reciprocal creates a perpendicular line. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.

(y--2)=-5/2(x-2)

y+2=-5/2x+10/2

y=-5/2x+5-2

y= -5/2x+3


User Toufiq
by
4.1k points