# Worksheet: Graphing Linear Functions

In this worksheet, we will practice graphing linear functions.

**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

**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.

- AD
- 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.

β2 | β1 | 0 | 1 | 2 | |
---|---|---|---|---|---|

- 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

**Q18: **

- A
- B
- C
- D
- E

**Q19: **

Which of the following graphs represents the equation ?

- A
- B
- C
- D
- E

**Q21: **

The given figure shows the graphs of the functions and . What is the point where ?

- A
- B
- C
- D
- E