Chapter 4 - Writing Linear Functions - 4.1 - Writing Equations in Slope-Intercept Form - Monitoring Progress - Page 177: 5

$y=3x-2$

Let $(x_{1},y_{1})=(0,-2)$ and $(x_{2},y_{2})=(4,10)$ Slope $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{10-(-2)}{4-0}=3$ Because the line crosses the y-axis at $(0,-2)$, the y-intercept $b$ is $-2$. Slope-intercept form is $y=mx+b$. Substituting the values of $m$ and $b$, we get the equation as $y=3x-2$