IXL - Compare linear functions: tables, graphs, and equations (Algebra 1 practice)

Function A and Function B are linear functions.

Function A

–

Function B

x	y
– 10	– 24
– 2	– 8
9	14

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
– 7	– 4
– 2	1
2	5

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
– 7	– 4
– 2	1
2	5

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 1.

Find the slope of Function B.

The equation is in slope-intercept form,

–

So, the slope is 4.

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:

N.11Compare linear functions: graphs and equations

K.3Find the slope from a table

L.7Slope-intercept form: write an equation from a table

CC.1Evaluate a linear function

Lesson: Linear functions

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