Find the slope from a table, a graph or two points

Answer Key - Grade 8 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

1. Read this first

   Table (input: week | output: height in cm)

   2 | 11; 6 | 31. Beside it: output change 31 − 11 = 20; input change 6 − 2 = 4.

2. 1.

   Ari measures a bean plant at week 2 and week 6. The changes are worked out. What is the slope (rate of change), in cm per week?

   5

3. Table (input: minute | output: liters)

   3 | 14; 7 | 38. Beside it: output change 38 − 14 = 24; input change 7 − 3 = 4.

4. 2.

   Bo checks the water in the bath at minute 3 and minute 7. The changes are worked out. What is the slope (rate of change), in liters per minute?

   6

5. Table (input: second | output: meters of string)

   4 | 19; 10 | 37. Beside it: output change 37 − 19 = 18; input change 10 − 4 = 6.

6. 3.

   Esme lets out kite string and checks it at second 4 and second 10. The changes are worked out. What is the slope (rate of change), in meters per second?

   3
7. 4.

   In math club, Milo gets two points on a line: (1, 4) and (5, 16). What is the slope of the line?

   3
8. 5.

   In math club, Noah gets two points on a line: (2, 5) and (8, 29). What is the slope of the line?

   4
9. 6.

   In math club, Pia gets two points on a line: (4, 10) and (10, 13). What is the slope of the line?

   1/2
10. 7.

    In math club, Ren gets two points on a line: (3, 2) and (7, 22). What is the slope of the line?

    5
11. 8.

    Tala graphs a kite climbing at a steady speed. What is the slope (rate of change), in meters per second?

    2
12. 9.

    Zee graphs how much of a candle has melted. What is the slope (rate of change), in cm per hour?

    1/2
13. 10.

    Ari graphs a bean sprout's height. What is the slope (rate of change), in cm per week?

    4