Step 01:
Data
function C = 3/2 x - 5
m = 3/2 = 1.5
function D = ?
(-3 , -5) x1 = -3 y1 = -5
(0 , -1) x2 = 0 y2 = -1
m =?
Step 02
function D
slope formula
[tex]m\text{ = }\frac{y2-y1}{x2-x1}[/tex][tex]m\text{ = }\frac{-1-(-5)_{}}{0-(-3)}=\frac{-1+5}{0+3}=\frac{4}{3}[/tex]m = 4 / 3 = 1.33
m C > m D
3/2 > 4/3
The solution is:
The function C has the steeper slope.
A. Function C slope of, 3/2, has a steeper slope than Function D, 4/3