Question

Line v has an equation of y = 8x + 2. Line w is parallel to line v and passes through (-1, -2).
What is the equation of line w?

Answer 1

Since Line V and Line W are parallel, they must have the same slope.

This gives us that the equation for Line W looks like: y = 8x + b

We need to find b and we use that point (-1,-2) to find it.  Substitute (-1,-2) into x and y and you can solve for b:

    -2 = 8(-1) + b

    -2 = -8 + b

    -2 + 8 = -8 + 8 + b

     6 = b

Now you have b (AKA the y-intercept).

The final equation is y = 8x + b.