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

Answer Key - Grade 8 Math Worksheet

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

1. Read this first

   Use the table

   input: hours	output: height in cm
   5	10
   1	22
   7	4
   3	16

2. 1.

   Bo measures a candle as it burns. The rows are mixed up. What is the slope (rate of change), in cm per hour?

   -3
3. 2.

   On a frosty night, Esme logs the temperature every 2 hours. What is the slope (rate of change), in °C per hour?

   -2
4. 3.

   Jun measures a young sunflower every 3 days. What is the slope (rate of change), in cm per day?

   2/3
5. 4.

   In math club, Milo gets two points on a line: (1, 6) and (5, -6). What is the slope of the line?

   -3
6. 5.

   Ren graphs a scooter ride along the park path. The two axes have different scales. What is the slope (rate of change), in meters per minute?

   100
7. 6.

   Tala graphs a candle burning down. The two axes have different scales. What is the slope (rate of change), in cm per hour?

   -5
8. 7.

   On a steady bike ride, Bo has gone 4 km after 10 minutes and 13 km after 40 minutes. What is the rate of change, in km per minute?

   3/10
9. 8.

   On a hike, Esme's water bottle has 700 mL left after 1 hour and 300 mL left after 5 hours. What is the rate of change, in mL per hour?

   -100
10. 9.

    Jun graphs a candle burning: hours across, height in cm up. The slope is -2. What does the slope tell?

    • The candle gets 2 cm taller each hour
    • The candle is 2 cm tall
    • The candle gets 2 cm shorter each hour
    • The candle gets 1 cm shorter every 2 hours
11. 10.

    Kira graphs a plant's height: weeks across, cm up. The slope is 3. What does the slope tell?

    • The plant is 3 cm tall
    • The plant grows 3 cm each week
    • The plant shrinks 3 cm each week
    • The plant grows 1 cm every 3 weeks