# Worksheet: Graphing Linear Functions

In this worksheet, we will practice graphing linear functions.

Q1:

Let us consider the function .

Fill in the table.

 𝑥 −1 0 1 𝑦=𝑓(𝑥)
• A
 𝑥 −1 0 1 𝑦=𝑓(𝑥) −19 −11 −3
• B
 𝑥 −1 0 1 𝑦=𝑓(𝑥) −3 −11 3
• C
 𝑥 −1 0 1 𝑦=𝑓(𝑥) −19 8 3
• D
 𝑥 −1 0 1 𝑦=𝑓(𝑥) 3 −11 −3
• E
 𝑥 −1 0 1 𝑦=𝑓(𝑥) 3 0 −3

Identify the three points that lie on the line . • AA, C, E
• BI, H, G
• CA, C, D
• DH, I, G
• EB, C, D

Q2:

Consider the function .

Fill in the table.

 𝑥 −2 0 2 𝑦=𝑓(𝑥)
• A
 𝑥 −2 0 2 𝑦=𝑓(𝑥) 1 5 1
• B
 𝑥 −2 0 2 𝑦=𝑓(𝑥) 8 −2 1
• C
 𝑥 −2 0 2 𝑦=𝑓(𝑥) 9 5 1
• D
 𝑥 −2 0 2 𝑦=𝑓(𝑥) 5 0 −1
• E
 𝑥 −2 0 2 𝑦=𝑓(𝑥) 1 −2 9

Identify the three points that lie on the line . • AH, F, J
• BA, C, E
• CH, I, G
• DB, C, D
• EI, H, J

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?

• A • B • C • D • E Q6:

Consider the equation .

Rearrange the equation into the form .

• A
• B
• C
• D
• E

What are the slope and -intercept of the equation?

• ASlope = 2, -intercept =
• BSlope = 2, -intercept = 1
• CSlope = 1, -intercept =
• DSlope = 2, -intercept =
• ESlope =1, -intercept =

Use the slope and intercept to identify the correct graph of the equation.

• A • B • C • D • E Q7:

Noah 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?

• A • B • C • D • E Q8:

Consider the linear equation .

By finding the - and - intercepts, state the coordinates and where the graph of the function crosses the axes.

• A and
• B and
• C and
• D and
• E and

Hence, identify which of these is the line of the equation. • AA
• BE
• CD
• DC
• EB

Q9:

Consider the linear equation .

By finding the - and , state the coordinates and where the graph of the function crosses the axes.

• A and
• B and
• C and
• D and
• E and

Hence, identify which of these is the line of the equation. • BE
• CB
• DA
• EC

Q10:

By making a table of values, determine which of the following is the function represented by the graph shown. • A
• B
• C
• D
• E

Q11:

By making a table of values, determine which of the following is the function represented by the graph shown. • A
• B
• C
• D
• E

Q12:

Jacob wants to draw the graph of the linear equation .

He plotted the points with -coordinates 0, 1, 2, 3, and 4 but made one mistake. Which point is incorrect?

• AE
• BB
• CD
• DA
• EC

What are the correct coordinates of this point?

• A
• B
• C
• D
• E

Q13:

Consider the linear equation .

We can draw a straight line to represent this equation. Complete the table to find the coordinates of points on the line.

−2−1012
• A9, 7, 6, 3, 1
• B9, 7, 5, 3, 1
• C1, 3, 5, 7, 9
• D9, 7, 5, 3, 2

Which of the following is the graph of the equation?

• A • B • C • D Which of these points is not on the line?

• A
• B
• C
• D
• E

Q14:

By making a table of values, determine which of the following graphs represents the equation .

• A • B • C • D • E Q15:

By making a table of values, determine which of the following is the function represented by the graph shown. • A
• B
• C
• D
• E

Q16:

Which of the following is the function represented by the shown graph? • A
• B
• C
• D
• E

Q17:

Which of the following graphs represents the equation ?

• A • B • C • D • E Q18:

By making a table of values, determine which of the following is the function represented by the graph shown. • A
• B
• C
• D
• E

Q19:

Which of the following graphs represents the equation ?

• A • B • C • D • E Q20:

By graphing the functions and , state the point at which they intersect.

• A
• B
• C
• D

Q21:

The given figure shows the graphs of the functions and . What is the point where ? • A
• B
• C
• D
• E