Question

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

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Answer 1

Answer: y=-2x+0

Let’s rewrite the equation

y=-2x-13

Knowing that the new equation is parallel to this will only tell us the slope. When an equation is parallel to another, it has the same slope but different y-intercept. So, our equation will have the same slope.

This is our current equation: y=-2x+b

Now we need to solve to b. We’ll do this by substituting the point into the equation and solving.

y=-2x+b

*substitute point*

-8=-2(4)+b

-8=-8+b

+add 8 on both sides*

0=b

Let’s add this into our equation— y=-2x+0 is our final answer

Hope this helps comment below for more questions :)

Answer 2

y=-2x

Explanation:

Parallel means same slope.

y-y1=m(x-x1)

y-(-8)=-2(x-4)

y+8=-2x+8

y=-2x+8-8

y=-2x