What is the slope-intercept equation for the line passing through (6, -2) and (5,7) ?

7-(-2) over 5-7 you get that and the answer is b.

You then plug that number into y=mx+b

Plug the 7 in place of the y and 5 in place of the x

So now you solve for m which most likely involve dividing cause you want to get m by itself so the end result being m= the slope

Hope that was helpful