Question

Given the function f(x) =2x-5 and g(x) which function has a greater slope

x g(x)
2 0
4 5
6 10
A. f(x) has a greater slope
B. g(x) has a greater slope
C. the slopes of f(x) and g(x) are the same
D. the slope of g(x) is undefined​

Answer 1

B. g(x) has a greater slope

Explanation:

Given the function f(x) =2x-5 and g(x), g(x) has a greater slope.

f(x) = 2

g(x) = 2.5

Answer 2

B. g(x) has a greater slope.

Explanation:

The slope-intercept of an equation of a line:

`y=mx+b`

m - slope

b - y-intercept

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

=========================================

`f(x)=2x-5\to m=2`

From the table of function g(x) we have:

x = 2 → y = 0

x = 4 → y = 5

Calculate the slope:

`m=(5-0)/(4-2)=(5)/(2)=2.5`

The slope of f(x) is equal to 2.

The slope of g(x) is equal to 2.5.

2 < 2.5