SOLUTION: A(2,-4) B(3,-2) C(5, k). If A, B and C lie on a straight line, find the value of k. Any help is greatly appreciated!

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Question 1045185: A(2,-4) B(3,-2) C(5, k). If A, B and C lie on a straight line, find the value of k.
Any help is greatly appreciated!

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A(2,-4) B(3,-2) C(5, k). If A, B and C lie on a straight line, find the value of k.
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From A to B, x increased 1, y increased 2
Slope m = 2
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y+4 = 2(x-2)
y = 2x -8
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At C, y = 2*5 - 8 = 2
k = 2