## Precalculus (6th Edition)

$G$
The x-intercept of the graph of an equation can be found by setting $y=0$ and solving for $x$. The y-intercept of the graph of an equation can be found by setting $x=0$ then solving for $y$. Thus, for the equation $2x-y=-4$, the intercepts are: x-intercept: $2x-y=-4 \\2x-0=-4 \\2x=-4 \\\frac{2x}{2}=\frac{-4}{2} \\x=-2$ The x-intercept is $(-2, 0)$. y-intercept: $2x-y=-4 \\2(0)-y=-4 \\-y=-4 \\y=4$ The y-intercept is $(0, 4)$. Therefore, the linear equation with an x-intercept of $(-2, 0)$ and a y-intercept of $(0, 4)$ is the one in Option $G$.