Finding the Slope of a Line Worksheet

**Page 1**

1.

Find the slope of the line that passes through the points (- 3, 4) and (5, 7).

a. | $\frac{3}{8}$ | ||

b. | $\frac{3}{2}$ | ||

c. | $\frac{8}{3}$ | ||

d. | $\frac{2}{11}$ |

Slope of a line passing through two points,

[Formula.]

=

[Substitute (

=

[Simplify the fraction.]

The slope of the line passing through the points is

Correct answer : (1)

2.

The slope of the line in the graph is

a. | negative | ||

b. | positive | ||

c. | zero | ||

d. | undefined |

The line with a positive slope rises from left to right.

So, the slope of the line in the graph is positive.

Correct answer : (2)

3.

The slope of the line in the graph is

a. | negative | ||

b. | positive | ||

c. | undefined | ||

d. | zero |

The line with a negative slope falls from left to right.

So, the slope of the line in the graph is negative.

Correct answer : (1)

4.

The slope of the line in the graph is

a. | undefined | ||

b. | negative | ||

c. | positive | ||

d. | zero |

Slope =

So, the slope of the line in the graph is zero.

Correct answer : (4)

5.

The slope of the line in the graph is

a. | 1 | ||

b. | undefined | ||

c. | zero | ||

d. | - 2 |

Slope =

So, the slope of the line in the graph is undefined.

Correct answer : (2)

6.

Find the slope of the line AB in the graph.

a. | - 1 | ||

b. | 1 | ||

c. | - 2 |

Slope =

[Formula.]

=

[Substitute values.]

=

[Simplify.]

The slope of the line AB is 1.

Correct answer : (2)

7.

Find the slope of the line $\stackrel{\u203e}{\mathrm{AB}}$ in the graph.

a. | 2 | ||

b. | - 1 | ||

c. | 1 | ||

d. | - 2 |

Slope =

The slope of the line is - 2.

Correct answer : (4)

8.

What is the slope of the diameter AB of the circle shown in the graph?

a. | - 2 | ||

b. | 1 | ||

c. | - 1 |

Let

[Substitute the values of

[Simplify the fraction.]

The slope of the diameter AB is 1.

Correct answer : (2)

9.

Find the slope of the line that passes through the points (13, 14) and (- 15, 17).

a. | $\frac{3}{28}$ | ||

b. | - $\frac{3}{28}$ | ||

c. | $\frac{3}{29}$ | ||

d. | $\frac{4}{29}$ |

[Slope formula.]

=

[Substitute (

= -

[Simplify the fraction.]

The slope of the line passing through the points is -

Correct answer : (2)

10.

Which word describes the slope of a vertical line?

a. | positive | ||

b. | zero | ||

c. | negative | ||

d. | undefined |

Slope =

[For a vertical line, Change in

The slope of the vertical line is undefined.

[Division by zero is undefined.]

Correct answer : (4)