Read the slope and y-intercept from y = mx + b

Grade 8 Math Worksheet

NameDate

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

  1. In math club, Bo meets the line y = -2x − 7. What is its slope?

  2. In math club, Jun meets the line y = -x + 9. What is its slope?

  3. In math club, Milo meets the line y = -3x + 12. What is its y-intercept?

  4. Noah graphs y = 4x + 6. At what point does the line cross the y-axis? Write it as (x, y).

  5. Pia graphs y = -2x − 3. At what point does the line cross the y-axis? Write it as (x, y).

  6. Ren graphs y = x − 7. At what point does the line cross the y-axis? Write it as (x, y).

  7. Zee sketches the line for y = 3x − 4. Which description matches its graph?

    • Crosses the y-axis at -4 and goes up 3 for each 1 across
    • Crosses the y-axis at 3 and goes down 4 for each 1 across
    • Crosses the y-axis at 4 and goes up 3 for each 1 across
  8. Bo graphs y = 2x and then y = 2x + 4. How does the new line compare with the first one?

    • Steeper, through the same point on the y-axis
    • Same steepness, moved up 4
    • Same steepness, moved down 4
    • Same steepness, moved 4 to the right
  9. Esme graphs y = -3x and then y = -3x − 5. How does the new line compare with the first one?

    • Steeper, through the same point on the y-axis
    • Same steepness, moved down 5
    • Same steepness, moved 5 to the left
    • Same steepness, moved up 5
  10. Luz's bath drains following L = 40 − 8m, with L the liters left after m minutes. What does the -8 in the rule tell you?

    • The bath starts with 8 liters
    • The bath gains 8 liters each minute
    • The bath takes 8 minutes to drain
    • The bath loses 8 liters each minute
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Read the slope and y-intercept from y = mx + b

Answer Key - Grade 8 Math Worksheet

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

  1. In math club, Bo meets the line y = -2x − 7. What is its slope?

    -2
  2. In math club, Jun meets the line y = -x + 9. What is its slope?

    -1
  3. In math club, Milo meets the line y = -3x + 12. What is its y-intercept?

    12
  4. Noah graphs y = 4x + 6. At what point does the line cross the y-axis? Write it as (x, y).

    (0, 6)
  5. Pia graphs y = -2x − 3. At what point does the line cross the y-axis? Write it as (x, y).

    (0, -3)
  6. Ren graphs y = x − 7. At what point does the line cross the y-axis? Write it as (x, y).

    (0, -7)
  7. Zee sketches the line for y = 3x − 4. Which description matches its graph?

    • Crosses the y-axis at -4 and goes up 3 for each 1 across
    • Crosses the y-axis at 3 and goes down 4 for each 1 across
    • Crosses the y-axis at 4 and goes up 3 for each 1 across
  8. Bo graphs y = 2x and then y = 2x + 4. How does the new line compare with the first one?

    • Steeper, through the same point on the y-axis
    • Same steepness, moved up 4
    • Same steepness, moved down 4
    • Same steepness, moved 4 to the right
  9. Esme graphs y = -3x and then y = -3x − 5. How does the new line compare with the first one?

    • Steeper, through the same point on the y-axis
    • Same steepness, moved down 5
    • Same steepness, moved 5 to the left
    • Same steepness, moved up 5
  10. Luz's bath drains following L = 40 − 8m, with L the liters left after m minutes. What does the -8 in the rule tell you?

    • The bath starts with 8 liters
    • The bath gains 8 liters each minute
    • The bath takes 8 minutes to drain
    • The bath loses 8 liters each minute