Answer
$G$
Work Step by Step
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 $G$.
