through ( -8, 4 ) and parallel to y=12x +4

Answer 1

Chad,

We know that parallel lines have the same slope, therefore we already know the slope of the line we are trying to solve for: 12! Write out this progress as so:

y = mx + b

y = 12x + b

Now, we just have to solve for b!

Plug in the point that we are given, with 4 for y and -8 for x.

y = 12x + b

4 = 12(-8) + b

4 = -96 + b

Do a wee bit of algebra to figure out that b = 100!

The equation of the line that is parallel to y = 12x + 4 and passes through (-8,4) is y = 12x + 100.

Hope this helps! :)