Answer:
Paige is incorrect. g(x) has a steeper slope
Step-by-step explanation:
The slope for f(x) is
m =( y2-y1)/(x2-x1)
= (17/2 - 5/2) / ( -1 - -6)
= (17/2 - 5/2) / ( -1 +6)
= (12/2)/5
= 6/5
The slope for g(x) is
m =( y2-y1)/(x2-x1)
= (-1 - 13/3) / ( 6 - 2)
=(-3/3 -13/3) / (6-2)
(-16/3)/4
-16/3 * 1/4
- 4/3
Comparing the magnitudes
|6/5| |-4/3|
|6/5*3/3| |-4/3*5/5|
|18/15| |20/15|
|20/15| is greater so it has a steeper slope
g(x) has a steeper slope
