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8th grade Find the slope from a table, a graph or two points worksheet

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

Grade 8 Math Worksheet

NameDate

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

  1. Read this first

    Use the table

    input: hoursoutput: height in cm
    510
    122
    74
    316

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

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

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

  5. In math club, Noah gets two points on a line: (-4, 3) and (2, 0). What is the slope of the line?

  6. 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?

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

  8. Zee graphs the temperature on a winter morning. The two axes have different scales. What is the slope (rate of change), in °C per hour?

  9. Ari's snowman is 140 cm tall at 2 p.m. and 128 cm tall at 5 p.m. What is the rate of change of its height, in cm per hour?

  10. 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?

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

    • The plant grows 1 cm every 3 weeks
    • The plant shrinks 3 cm each week
    • The plant is 3 cm tall
    • The plant grows 3 cm each week
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8th grade Find the slope from a table, a graph or two points worksheet – printable
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About this worksheet

Find the slope from a table, a graph or two points. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find the slope (rate of change) from two points, any two rows of a table, two points on a graph or two readings in a story: output change ÷ input change.
  • I can say what a slope means in a story ("the candle gets 2 cm shorter each hour") and use a slope to find a missing point.

Standard: 8.F.B.4 (rate of change from two (x, y) values), 8.EE.B.6 (partial)

Words to know

slope (rate of change): Output change ÷ input change: how much y changes for 1 more x.

output change / input change: Second output minus first output / second input minus first input.

negative slope: The output goes down as the input goes up.

zero slope: The output stays the same: a flat line.

"per": For each 1: "cm per hour" is cm for each 1 hour.

Common mistakes

Your child divided the input change by the output change, so the slope came out upside down.

Your child subtracted the outputs in one order and the inputs in the other, so the sign came out wrong. Try labeling one point first and one point second, and subtract in that order both times.

Your child found how much the output changed but did not divide by how much the input changed.

What to say

Ask: how much does the output change for 1 step of input?

Ask: how much is that for 1 step of input?

Questions parents ask

What is the most common mistake with find the slope from a table, a graph or two points?

Your child divided the input change by the output change, so the slope came out upside down.

How can I help my child with find the slope from a table, a graph or two points?

Ask: how much does the output change for 1 step of input?

Are these 8th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 8 math

See all grade 8 math

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