the line perpendicular to 4y + x + 40= 0 that passes through the point (1/2,0)

(show work and explain)

Mathisfornerds
Jan 30, 2018

#1**+1 **

4y + 1x + 40 = 0 rearrange as

4y = -1x - 40 divide both sides by 4

y = (-1/4)x - 10

The slope of this line is -1/4 ....a perpendicular line will have a negative reciprocal slope = 4

So...using the point-slope form, we have

y = 4 ( x - 1/2) + 0 simplify

y = 4x - 2

Here's the graph of both lines : https://www.desmos.com/calculator/xzeqsobhzr

CPhill
Jan 30, 2018