Write the equation of the line that passes through (4, -8) and is parallel to the line y = -2x - 13.

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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