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If you think the statement is true, then prove it. On the other hand, if you think the statement is false, then give an example that disproves the statement. For example, the statement “If *a *and *b *are real numbers, then *a* – *b* = *b* – *a*” is false and an example that disproves it may be constructed by taking *a* = 3 and *b* = 5. For these values of *a* and *b*, we find *a* – *b* = 3 – 5 = -2 but *b *– *a* = 5 – 3 = 2 and this shows that *a *– *b* ≠ *b* – *a*. Such an example is called a ≠counterexample.

- True or false. The slope of a horizontal line is undefined.
- True or false. Suppose the slope of a straight line
*L*is -3/4 and*P*is a given point on*L*. If*Q*is a point on*L*lying 2 units to the right of*P*, then*Q*is situated 3/2 units below*P*. - True or false. The
*y*-intercept of the straight line with equation*Ax*+*By*+*C*= 0 is –*C*/*B*(*B*≠ 0). - True or false. If a line
*L*_{1}has equation*y*=*mx*+*b*, where*m*and*b*are constants with*m*≠*L*_{2}perpendicular to*L*_{1}has the form , where*C*is a constant. - True or false. Suppose an asset is being depreciated linearly. Then the rate of depreciation of the asset is given by the negative of the slope of the depreciation line.
- True or false. If
*R*and*C*are linear revenue and cost functions, respectively, and (*x*_{0},*p*_{0}) is the breakeven point, then*P*(*x*) >*P*(*x*_{0}) if*x*>*x*_{0}, where*P*is the profit function. - True or false. The least-squares line must pass through at least one of the data points.

- Metro Department Store’s annual sales (in millions of dollars) during 5 years were

Annual Sales, y | 5.8 | 6.1 | 7.2 | 8.3 | 9 |

Year, x | 1 | 2 | 3 | 4 | 5 |

- Plot the annual sales (y) versus the year (x) and draw a straight line L through the points corresponding to the first and fifth years and derive an equation of the line L.

A. |

B. |

C. |

4 points

**Question 2 **

- Find the slope of the line shown in the figure.

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B. |

C. |

D. |

E. |

4 points

**Question 3 **

- Find the slope of the line that passes through the given pair of points.

(-1, 2) and (3, 4)

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B. |

C. |

D. |

4 points

**Question 4 **

- Find the slope of the line that passes through the given pair of points.

(2, 2) and (8, 5)

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B. |

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E. |

4 points

**Question 5 **

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4 points

**Question 6 **

- Determine whether the lines through the given pairs of points are parallel. A (2, – 3), B (- 2, – 11) and C (1, 2), D (- 1, 6)

A. | The lines through the given pairs of points are not parallel. |

B. | The lines through the given pairs of points are parallel. |

4 points

**Question 7 **

- If the line passing through the points (2, a) and (5, – 3) is parallel to the line passing through the points (4, 8) and (- 5, a + 1) , what is the value of a?

A. | a = -8 |

B. | a = 4 |

C. | a = -4 |

D. | a = 8 |

4 points

**Question 8 **

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4 points

**Question 9 **

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4 points

**Question 10 **

- Find an equation of the line that passes through the points (1, 4) and ( -7, -4)

A. | y = 7x + 7 |

B. | y = x + 3 |

C. | y = 3x – 7 |

D. | y = 3x – 3 |

4 points

**Question 11 **

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4 points

**Question 12 **

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4 points

**Question 13 **

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4 points

**Question 14 **

- Find an equation of the line passing through the origin and parallel to the line passing through the points (2,8) and (4,12).

A. | y = 2x + 4 |

B. | y = 2x |

C. | y = 3x |

D. | y = 4x – 2 |

4 points

**Question 15 **

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4 points

**Question 16 **

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4 points

**Question 17 **

- Metro Department Store’s annual sales (in millions of dollars) during 5 years were

Annual Sales, y | 5.8 | 6.3 | 7.1 | 8.3 | 9 |

Year, x | 1 | 2 | 3 | 4 | 5 |

- Plot the annual sales (y) versus the year (x) and draw a straight line L through the points corresponding to the first and fifth years and derive an equation of the line L.

A. |

B. |

C. |

4 points

**Question 18 **

A. |

B. |

4 points

**Question 19 **

- Determine whether the equation defines y as a linear function of x. If so, write it in the form y = mx + b. 8x = 5y + 9

A. | |

B. | |

C. | |

D. | |

E. | y is not a linear function of x. |

4 points

**Question 20 **

- Determine whether the equation defines y as a linear function of x. If so, write it in the form y = mx + b. x = 3y – 9

A. | |

B. | |

C. | |

D. | y is not a linear function of x. |

4 points

**Question 21 **

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B. | |

C. | |

D. | y is not a linear function of x. |

4 points

**Question 22 **

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B. | |

C. | |

D. | |

E. | y is not a linear function of x. |

4 points

**Question 23 **

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D. | y is not a linear function of x |

4 points

**Question 24 **

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4 points

**Question 25 **

- Find the constants
*m*and*b*in the linear function f(x) =*mx*+*b*so that*f*(1) = 2 and the straight line represented by*f*has slope – 1.

A. |

B. |

C. |

D. |

4 points