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

 Jun 28, 2020
 #1
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\(\dfrac{7 - y}{-1 - (-6)} = \dfrac{-2 - y}{3 - (-6)} \text{ (why?)}\\ \dfrac{7 - y}5 = \dfrac{y + 2}{-9}\\ 9y - 63 = 5y + 10\\ 4y = 73\\ y = \dfrac{73}4 \)

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 Jun 28, 2020

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