Answer
$$y=\frac{1}{2}x-2$$
Work Step by Step
$$y = -2x + 3$$
This equation is in the form $y=mx+b$ with $m$ as slobe and $b$ as y-intercept. Since parallel lines have have opposite slopes (negative reciprocals), then the equation we are looking for will have a slope=$\frac{1}{2}$.
Thus, we have:
$$y=\frac{1}{2}x+b$$
We can now use the given point $(4, 0)$ to find the y-intercept, $b$.
$$y=\frac{1}{2}x+b$$
$$0=\frac{1}{2} (4)+b$$
$$0=2+b$$
Subtracting $2$ from both sides:
$$0=2+b$$
$$0-2=2-2+b$$
$$-2=b$$
The equation will now become:
$$ y=\frac{1}{2}x-2$$
Plotting both equations will give us:
