Question

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

Answer 1

g(x) has a greater slope

Explanation:

step 1

Find the slope of f(x)

we have

`f(x)=2x-5`

This is a linear function in slope intercept form

`f(x)=mx+b`

where

m is the slope

b is the y-intercept

so

`m=2`

step 2

Find the slope of g(x)

take two points from the table

(2,0) and (4,5)

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

step 3

Compare the slopes

`2.5 > 2`

so

The slope of g(x) is greater than the slope of f(x)