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Find $y$ if the point $(-6,y)$ is on the line that passes through $(-1,7)$ and $(3,-2)$.

 Apr 16, 2021
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 Slope of  the line = (-2 - 7)  / (3 - 1) =  -9 / 2

 

Equation of  this  line  is

 

y  = (-9/2) ( x - -1) + 7

 

y  = (-9/2)  ( x + 1)  + 7

 

y = -(9/2)x  - 9/2  + 14/2

 

y = -(9/2)x  + 5/4

 

When  x  = - 6

 

y =  -(9/2)(-6)  + 5/4

 

y = 54/2  + 5/4

 

y  = 113/4

 Apr 16, 2021

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