Chapter 2 Linear Equations and Functions - 2.6 Draw Scatter Plots and Best-Fitting Lines - 2.6 Exercises - Quiz for Lessons 2.4-2.6 - Page 120: 5

$y=3x+7$

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: $m=\frac{7-(-2)}{0-(-3)}=\frac{9}{3}=3.$ 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: $y-7=3(x-0)\\y=3x+7$