# Worksheet: Linear Functions in Different Forms

In this worksheet, we will practice writing linear functions in different forms, such as standard form and slope–intercept form.

**Q3: **

Write the equation that represents the linear function shown in the given table.

-value | 0 | ||
---|---|---|---|

-value | 3 | 4 | 5 |

- A
- B
- C
- D
- E

**Q5: **

True or false: The equation of a line intercepting the vertical axis at is .

- Afalse
- Btrue

**Q6: **

True or false: The equation of a line passing through the origin is .

- Atrue
- Bfalse

**Q7: **

Which of the following graphs represents the equation ?

- A
- B
- C
- D
- E

**Q8: **

Which of the following graphs represents the equation ?

- A
- B
- C
- D
- E

**Q9: **

What is the relation between the point and the line ?

- AIt lies on the line.
- BIt is the -intercept of the line.
- CIt is below the line.
- DIt is the -intercept of the line.
- EIt lies above the line.

**Q10: **

Find the slope and the -intercept of this straight line.

- A ,
- B ,
- C ,
- D ,
- E ,

**Q11: **

A straight line is defined by the equation .

Given that the point lies on the line, find an expression for in terms of , , and .

- A
- B
- C
- D
- E

Given also that the point lies on the line and is the slope of the line, find an expression for in terms of , , , and .

- A
- B
- C
- D
- E

By substituting in for and factorizing out , find the formula for the equation of the line.

- A
- B
- C
- D
- E

Substitute in your expression for to complete your formula.

- A
- B
- C
- D
- E

**Q12: **

The general form for the equation of any linear function is . What do and represent?

- A represents the slope of the graph of the function, and represents the -intercept of the graph of the function.
- B represents the slope of the graph of the function, and represents the -intercept of the graph of the function.
- C represents the slope of the graph of the function, and represents the -intercept of the graph of the function.
- D represents the slope of the graph of the function, and represents the -intercept of the graph of the function.

**Q13: **

What is the -intercept of the function ?

**Q14: **

Which of the following equations represents the function drawn on the graph?

- A
- B
- C
- D
- E

**Q15: **

Determine the equation of the straight line given in the diagram.

- A
- B
- C
- D
- E

**Q18: **

Find the Cartesian equation of the straight line passing through the point and parallel to the straight line whose equation is .

- A
- B
- C
- D

**Q19: **

Write the equation represented by the graph shown. Give your answer in the form .

- A
- B
- C
- D
- E

**Q20: **

Write the equation represented by the graph shown. Give your answer in the form .

- A
- B
- C
- D
- E