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A line passes through the points $A,$ $B,$ and $C.$ If $A = (-2,-4),$ $B = (-3,12),$ and $C = (4,y),$ then find $y.$

 Oct 11, 2023
 #1
avatar+128732 
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All the points are on the same  line...So, the slope between any  two points will be the same

 

So

 

[ 12 - -4] / [ -3 - -2 ]  =  16 / -1  = -16

 

And

 

[ y - 12 ] / [ 4 - -3] =  -16

 

[y -12 ] / [ 7]  = -16

 

y -12  = -16 * 7

 

y - 12  = -112

 

y =  -112 + 12  =   -100

 

 

cool cool cool

 Oct 11, 2023

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