Slope = (change in ys) / (change in xs) = (8 - 6)/(6 - 3) = 2/3
Since the line pass through both points:
y = mx + c
Using point (3, 6) x = 3, y = 6
6 = 3m + c m = 2/3
6 = 3*(2/3) + c
6 = 2 + c
2 + c = 6
c = 6 - 2 = 4
y = mx + c m = (2/3) c = 4
y = (2/3)x + 4 in the slope intercept form.
