Answer: y=-2x
Let’s rewrite the equation
y=-2x-13
Knowing that the equation is parallel to this will only tell us the slope. When an equation is parallel to another it has the same slope but a different y-intercept. So, our equation will also have a slope of -2.
Our current equation is y=-2x+b
Let’s solve for b. We’ll do this by substituting the point into the equation and solving
y=-2x+b
*substitute point*
-8=-2(4)+b
*multiply -2 and 4*
-8 = -8 +b
*add 8 on both sides*
0=b
That will finish our equation. Our final equation is y=-2x+0, or simply y=-2x
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