SOLUTION: Given that (3,7) and (-5,-8) are on the same line, determine (using algebra) if the point (-33,-2/3) lies on the same line

Question 211712: Given that (3,7) and (-5,-8) are on the same line, determine (using algebra) if the point (-33,-2/3) lies on the same line
Answer by HyperBrain(694) (Show Source): You can put this solution on YOUR website!
Given: two points (3,7) and (-5,-8)
Using these points, we can find the slope of the line passing through them.

Using the point slope form of the line y-k=m(x-h) where (h,k) is on the line, the equation of the line is
y-3=15/8(x-7)
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If (-33,-2/3) is on the line, it must satisfy the equation.
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(-2/3)-3=15/8(-33-7)
(-2/3)-3=15/8(-40)
(-2/3)-3=15(-5)
(-2/3)-(9/3)=-45
-11/3=-45
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This is a false statement, so the point (-33,-2/3) is not on the line.
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