Question

(8,-2);3x-4y=7

Answer 1

What's your question?

Answer 2

It says "Write an equation of the line containing the given point and parallel to the given line." I keep trying to figure these out, but I'm confused.

Answer 3

Alright, do you know the point-slope formula?

Answer 4

Yeah, y-y^1=m(x-x^1)

Answer 5

Right, now all you have to do is plug in all the information you have into the equation, and put it back into slope-intercept form. Given (8, -2) and m=3/4.
Because the slope id parallel, meaning the same as the original equation.

Answer 6

So would it be y-(-2)=3/4(x-8)?

Answer 7

Yes, now just simplify it and get it into \(y=mx+b\) and you'll be set :)

Answer 8

Okay, thank you so much! :)

Answer 9

You're welcome, and welcome to the site, hope you enjoy your time here. :)