Answer
$$y=-2x+8$$
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 the same slope, then the equation we are looking for will have a slope=$-2$.
Thus, we have:
$$y=-2x+b$$
We can now use the given point $(4, 0)$ to find the y-intercept, $b$.
$$y=-2x+b$$
$$0=-2(4)+b$$
$$0=-8+b$$
Add $8$ to both sides:
$$0=-8+b$$
$$8=-8+8+b$$
$$8=b$$
The equation will now become:
$$y=-2x+8$$
Plotting both equations will give us:
