Question

50 Points!! Paul graphs the line of the equation y = 2 x + 6. Stuart graphs a line with the same x -intercept and a y -intercept of 2. Which statement regarding their graphs is true?
The slope of Paul's line is greater than Stuart's line.

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

The y -intercept of Stuart's line is greater than Paul's line.

The y -intercept of Paul's line is the same as Stuart's line.

Answer 1

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.