So to do this, we take any 2 coordinate points and subtract them to find the slope. For this one i'll go ahead and and take (4,6) and (-2,1), then we set them up. Subtract the X coordinates from each other and the Y's from each other.
4-(-2) change the two negatives to 4+2=6
6-1=5
So 6/5 is the slope, now lets simplify to get 6/5.
Your equation is y=6/5x+3
-Seth.
P.S. It may be y=6/5x+2.5 or something, i cant tell exactly where it goes through the y intercept.