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.

   Kira reads the classroom thermometer every 2 hours. The heater keeps it cozy. What is the slope (rate of change), in °C per hour?

   0
6. 5.

   In math club, Luz gets two points on a line: (-2, -7) and (2, 5). What is the slope of the line?

   3
7. 6.

   In math club, Pia gets two points on a line: (-5, -1) and (-1, 7). What is the slope of the line?

   2
8. 7.

   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
9. 8.

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

   -5
10. 9.

    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
11. 10.

    Luz graphs a water bottle on a hike: hours across, mL left up. The slope is -150. What does the slope tell?

    • The bottle holds 150 mL
    • The bottle gains 150 mL each hour
    • The bottle loses 1 mL every 150 hours
    • The bottle loses 150 mL each hour