Slope of a line problem

Given points $M(-2,7)$ and $K(4,y)$ in a coordinate plane, for what value of $y$ if the slope of the line passing through M and k is $\frac{-3}{2}$

From the definition of the slope we have:

$\frac{y-7}{4-(-2)}=\frac{-3}{2}\implies \frac{y-7}{6}=\frac{-3}{2}$

$\implies y-7=-9\implies y=-2$

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