Given a point on a line (5, -2) and the slope of the line (m = 4) find the equation of the line.

Can you help me figure this out?

If you could explain how you got the answer that would be great!

Just use the formation y=mx+b where y is the y coordinate (-2) and x is the x coordinate (5) and m is the slope (4).

Plugging those in you get:

-2=4(5)+b

solving for b you get -22
so your equation should be y=4x-22
I believe this is right

Equation is y-y1=m(x-x1)
y+2=4(x-5)
y=4x-22

Don't overcomplicate it!