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

Given the function f(x) = 2x-5 and g(x), which function has a greater slope?​-example-1
User Deathlock
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1 Answer

3 votes

Answer:

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)

User Thomas Sauvajon
by
8.4k points

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