Chapter 2 Linear Equations and Functions - Chapter Review - Exercises - Page 142: 16

$y=-2x-2.$

Work Step by Step

We know that by the Slope Formula: if $P_1(x_1,y_1)$ and $P_2(x_2,y_2)$ are on a line, then the slope is: $m=\frac{y_2-y_1}{x_2-x_1}$. Hence here: $m=\frac{4-(-6)}{-3-2}=\frac{10}{-5}=-2.$ We know that if the slope of a line is $m$ and it contains $P_1(x_1,y_1)$, then its equation is: $y-y_1=m(x-x_1).$ Hence here: $y-4=-2(x-(-3))\\y-4=-2(x+3)\\y-4=-2x-6\\y=-2x-2.$

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