In this worksheet, we will practice using the slopeβintercept form of two-variable linear equations to find the slope and the y-intercept of their line.

**Q1: **

Write a linear function in the form , that has a slope of 3 and a -intercept of 8.

- A
- B
- C
- D
- E

**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

**Q4: **

What is the -intercept of the line passing through and ?

**Q5: **

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

- Atrue
- Bfalse

**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 ?

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- B
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- E

**Q8: **

Which of the following graphs represents the equation ?

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- B
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- D
- E

**Q9: **

What is the relation between the point and the line ?

- A It is the -intercept of the line.
- B It is the -intercept of the line.
- C It is below the line.
- D It lies above the line.
- E It lies on 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 .

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

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

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Substitute in your expression for to complete your formula.

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**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