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) 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
The slope of Paul's line is greater than Stuart's line.