Worksheet: Graphing Linear Functions Using Intercepts

In this worksheet, we will practice representing linear functions by plotting enough points on the coordinate plane to recognize a pattern then connecting all the points.

Q1:

Consider the function .

Fill in the table.

β2

0

2

A

β2

0

2

8

β2

1

B

β2

0

2

1

5

1

C

β2

0

2

1

β2

9

D

β2

0

2

9

5

1

E

β2

0

2

5

0

β1

Identify the three points that lie on the line .

AA, C, E

BI, H, J

CH, F, J

DH, I, G

EB, C, D

Q2:

Let us consider the function .

Fill in the table.

β1

0

1

A

β1

0

1

β19

8

3

B

β1

0

1

3

β11

β3

C

β1

0

1

3

0

β3

D

β1

0

1

β19

β11

β3

E

β1

0

1

β3

β11

3

Identify the three points that lie on the line .

AI, H, G

BA, C, D

CB, C, D

DA, C, E

EH, I, G

Q3:

Which of the following graphs represents the equation ?

A

B

C

D

E

Q4:

Which of the following graphs represents the equation ?

A

B

C

D

E

Q5:

Matthew rides his bike at a steady rate of 15 miles per hour. The function shows how time relates to
the distance . Which graph represents this function?