Paul    y = 2x+6
x intercept when y=0
0 = 2x+6
-6 = 2x
divide by 2
x=-3
Stuart   y = mx+2   (y intercept is 2)
one of the points is (-3,0) Â the same x intercept)
       0 = m(-3) +2
subtract 2 from each side
-2 = -3m
divide by -3
2/3 =m
 y = 2/3 x+2
Paul    y = 2x+6
Stuart   y = 2/3 x+2 Â
The slope of Paul's line is greater than Stuart's line. Â