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What is the intersection point of the line y = -2x + 5 and the line perpendicular to it that passes through the point (5,5)?

 Jun 25, 2021
 #1
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The slope of the  gven line  is  -2

 

The slope of  a perp line  =  1/2

 

Equation of this line

 

y = (1/2) ( x - 5)  +  5

 

y = (1/2)x - 5/2 + 5

 

y = (1/2)x  +  5/2

 

Setting this  = to  the  given line to  find the x intersection coordimate

 

-2x +  5 =   (1/2)x  +   5/2

 

(- 2 - 1/2)x =    5/2  - 5

 

( -5/2)x  =  -5/2

 

x = 1

 

And  y =   -2(1)  +   5 =   3

 

Intersection pont =  (1, 3)

 

 

cool cool cool

 Jun 25, 2021

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