IXL | Compare linear functions: graphs and equations

Function A and Function B are linear functions.

Function A

Function B

–

Which statement is true?

The slope of Function A is greater than the slope of Function B.

The slope of Function A is less than the slope of Function B.

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Learn with an example

question

Function A and Function B are linear functions.

Function A

Function B

Which statement is true?

The slope of Function A is greater than the slope of Function B.

The slope of Function A is less than the slope of Function B.

key idea

The slope formula is

change in y

change in x

The slope-intercept form of a linear function is

where m is the slope and b is the

y-intercept.

solution

Find the slope of Function A.

The equation is in slope-intercept form,

Since

is the same as

the slope is 1.

Find the slope of Function B.

The graph of a linear function is a line. Find the change in y and the change in x between any two points on the line.

The change in y is 4, and the change in x is 1.

The slope is:

change in y

change in x

Compare the slopes.

The slope of Function A is 1. The slope of Function B is 4.

So, the slope of Function A is less than the slope of Function B.

Looking for more? Try these:

Lesson: Linear functions

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Teacher tools

Work it out

Not feeling ready yet? These can help:

Z.1Find the slope from a graph

AA.3Slope-intercept form: find the slope and y-intercept

AA.4Graph a line from an equation in slope-intercept form

AA.7Write a linear equation from a graph

CC.1Evaluate a linear function

CC.4Interpret points on the graph of a linear function

Lesson: Linear functions

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