"A line passes through the points (-6, 3) and (5, -2)" how do i make this into an equation?

Question

anonymous · Answer

do you know how to find the slope?

arbyj · Answer

Yes, but I'm not sure how to make into an equation

anonymous · Answer

think about point slope form once you get the slope. and if you think about it. point slope form and the slope formula are the same thing reconfigured.

anonymous · Answer

once you get slope. you just have to use 1 set of points to get the equation.

kainui · Answer

You know you're going to end up with y=mx+b right? So if you find the slope, then you can find b since you already have x,y, and m. Plug and chug!

arbyj · Answer

So I can use any set of the numbers listed to plug into y=mx+b?

arbyj · Answer

@lonnie455rich

anonymous · Answer

well. you can do that. but here is my thought process to add to his.
given the information you provided
$$m=\frac{ y-y }{ x-x }$$
to get the slope
$$y-3=m(x+6)$$
then solve for y and you get 
$$y=mx+b$$