## Intermediate Algebra (12th Edition)

$y=2x-4$
A line in slope-intercept form has the equation: $y=mx+b$ ($m=slope$, $b=y-intercept$) We see from the table that the point $(0,-4)$ corresponds to the $y$-intercept. Thus $b=-4$. To calculate the slope between points $(x_1,y_1)$ and $(x_2,y_2)$, we use the formula: $slope=m=\frac{y_2-y_1}{x_2-x_1}$ We plug in the points $(0,-4)$ and $(3,2)$: $slope=m=\frac{2--4}{3-0}=\frac{6}{3}=2$ Thus the equation must be: $y=2x-4$