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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
avatar+92808 
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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

 

cool cool cool

CPhill  Jan 30, 2018

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