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Given points $P(-2,7)$ and $Q(4,y)$ in a coordinate plane, for what value of $y$ is the slope of the line through $P$ and $Q$ equal to $\frac{-3}{2}$?

 Jul 4, 2020
 #1
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We plug in what is given into the slope formula and solve for y. 

 

 \(\frac{y-7}{4-(-2)}=-\frac{3}{2}\\ \frac{y-7}{6}=-\frac{3}{2}\\ y-7=-9\\ \boxed{y=-2}.\)

 Jul 4, 2020

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