The Slope and Equation of a Line Practice Test

Review the following concepts if needed:

• The Slope and Equation of a Line Help

The Slope and Equation of a Line Practice Test

Problems

1. Find the slope of the line containing the points (3, 1) and (4, −2).

   (a)

   (b) −3

   (c)

   (d) 3

2. Are the lines 2 x + y = 4 and 2 x − 4 y = 5 parallel, perpendicular, or neither?

   (a) Parallel

   (b) Perpendicular

   (c) Neither

   (d) Cannot be determined

3. Are the lines x = 4 and y = −4 parallel, perpendicular, or neither?

   (a) Parallel

   (b) Perpendicular

   (c) Neither

   (d) Cannot be determined

4. What is the equation of the line containing the points (0, −1) and (5, 1)?

   (a) y = −1

   (b)

   (c) y = −4 x − 1

   (d)

5. Find an equation of the line containing the point (−1, −5) and parallel to the line y = 2 x − 4.

   (a) y = 2 x − 3

   (b) y = 2 x − 5

   (c) y = 2 x − 1

   (d) y = 2 x + 4

6. Find an equation of the line containing the point (3, 3) and perpendicular to the line y = 2 x + 5.

   

7. Find an equation of the line in Figure 1.18.

   (a)

   (b)

   (c) y = −2 x + 4

   (d) y = 2 x + 4

   

   Fig. 1.18 .

8. Find an equation of the horizontal line that goes through the point (4, 9).

   (a) x = 4

   (b) y = 9

   (c) Cannot be determined

9. Are the points (−5, −1), (1,4), and (6, −2) the vertices of a right triangle?

   (a) Yes

   (b) No

   (c) Cannot be determined

10. A government agency leases a photocopier for a fixed monthly charge plus a charge for each photocopy. In one month, the bill was $350 for 4000 copies. In the following month, the bill was $375 for 5000 copies. Find the monthly bill in terms of the number of copies used,

    (a) y = 1.267 x − 4718

    (b) y = 40 x − 10,000

    (c) y = 0.789 x − 3570

    (d) y = 0.025 x + 250

Solutions

1. B

2. B

3. B

4. D

5. A

6. A

7. B

8. B

9. A

10. D