IXL | Compare linear functions: tables, graphs, and equations

Function A and Function B are linear functions.

Function A

x	y
– 8	– 9
2	1
8	7

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

x	y
2	2
5	11
8	20

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.

x	y
2	2
5	11
8	20

Each row of the table corresponds to a point on the graph of the function. For example, the first row corresponds to the point

(

)

Pick any two points from the table, like

(

)

and

(

)

and use the slope formula.

change in y

change in x

–

The slope is 3.

Find the slope of Function B.

The equation is in slope-intercept form,

So, the slope is 5.

Compare the slopes.

The slope of Function A is 3. The slope of Function B is 5.

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:

CC.9Compare linear functions: graphs and equations

Z.3Find the slope from a table

AA.9Write a linear equation from two points

CC.1Evaluate a linear function

Lesson: Linear functions

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