Question

Which equation represents the line that passes through the point (−2,2) and is parallel to y - 8= 12x ?

Answer 1

y=12x+26

Explanation:

We need an equation that passes through (-2,2) and is parallel to y-8=12x.

For this problem, we are going to use point slope form. Point slope form is written like this:
`y-y_(1) =m(x-x_(1))`. Parallel lines on graphs also have the same slope and different y-intercepts. Let's start plugging our known values. We will start with the slope. We know that the slope is 12, so m=12.

`y-y_(1)=12(x-x_(1))`.

We also know that
`y_(1) =2, x_(1)=-2`. Now let's solve

`y-2=12(x+2)\\y-2=12x+24\\y=12x+26`