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

Answer Key - Grade 8 Math Worksheet - Challenge Me

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

1. Read this first

   Use the table

   input: x	output: y
   2	1
   6	-7
   -3	11
   1	3

2. 1.

   Milo's math-club table is linear, with uneven steps and mixed-up rows. What is the slope of the line?

   -2
3. 2.

   Pia's class tracks melting snow in the schoolyard on a few days. What is the slope (rate of change), in cm per day?

   -3/2
4. 3.

   In math club, Tala gets two points on a line: (-1.5, 2) and (1, -3). What is the slope of the line?

   -2
5. 4.

   In math club, Zee gets two points on a line: (2/3, 1) and (8/3, 7). What is the slope of the line?

   3
6. 5.

   At 6 p.m. it is 9 °C outside Luz's window. By 11 p.m. it is -1 °C. What is the rate of change, in °C per hour?

   -2
7. 6.

   Jun keeps hike notes on paper. Walking downhill, the trail is at 1,850 m after 2 hours and at 1,250 m after 5 hours. What is the rate of change, in meters per hour?

   -200
8. 7.

   Milo's line has slope 3 and goes through (2, 5). Another point on it has x = 6. What is its y?

   17
9. 8.

   Ren graphs a bike ride with km across and minutes up. The slope is 4. What does the slope tell?

   • Each 1 km takes 4 fewer minutes
   • Each 1 km takes 4 more minutes
   • Each 1 minute covers 4 more km
   • The ride is 4 km long
10. 9.

    Tala graphs the evening temperature: hours across, °C up. The slope is -3/4. What does the slope tell?

    • The temperature drops 4 °C every 3 hours
    • The temperature rises 3 °C every 4 hours
    • The temperature drops 3 °C every 4 hours
    • It is -3/4 °C outside
11. 10.

    Zee graphs a watering can in the garden: minutes across, liters left up. The slope is -0.5. What does the slope tell?

    • The can gains half a liter each minute
    • The can holds half a liter
    • The can loses half a liter each minute
    • The can loses 2 liters each minute