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# graphing lines

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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

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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