SOLUTION: find c such that (-8,-6),(-1,-1) and (c,-5) lie on a line

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Question 993860: find c such that (-8,-6),(-1,-1) and (c,-5) lie on a line
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
find c such that (-8,-6),(-1,-1) and (c,-5) lie on a line
Label the points A(-8,-6), B(-1,-1) and C(c,-5)
Find the slope of AB
m = diffy/diffx = 5/7
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The slope of BC has to be 5/7
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(-5+1)/(c+1) = 5/7
-4/(c+1) = 5/7
5(c+1) = -28
c+1 = -28/5
c = -33/5