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

g(x) has a greater slope

Step-by-step explanation:

step 1

Find the slope of f(x)

we have

This is a linear function in slope intercept form

where

m is the slope

b is the y-intercept

so

step 2

Find the slope of g(x)

take two points from the table

(2,0) and (4,5)

step 3

Compare the slopes

so

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

m∠a is 90°

m∠b is 40°

180-142=38 for the acute angle next to the entry

90+38=128

180-128=52

a=52

step-by-step explanation: