Chapter 3 Linear Systems and Matrices - 3.2 Solve Linear Systems Algebraically - 3.2 Exercises - Mixed Review - Page 167: 74

$y=\frac{3}{2}x+1$

Find two points: $(2,4) \rightarrow (x_1,y_1)$ $(-2,-2) \rightarrow (x_2,y_2)$ Use point-slope form: $m=\frac{4-(-2)}{2-(-2)}=\frac{3}{2}$ $y=mx+b$ $y=\frac{3}{2}x+b$ Substitute $(2,4)$: $4=\frac{3}{2}(2)+b$ $b=1$ $y=\frac{3}{2}x+1$