Write y = mx + b from a slope and a point, a y-intercept and a point, or two points

Grade 8 Math Worksheet - Challenge Me

NameDate

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

  1. Luz's line passes through (-4, -1) and (4, 5). What rule, written as y = mx + b, gives the line?

  2. Milo's line passes through (2, 5.5) and (6, 7.5). What rule, written as y = mx + b, gives the line?

  3. Noah's line passes through (5, 3.5) and (10, 8). What rule, written as y = mx + b, gives the line?

  4. Pia's plant is 14 cm tall at week 3 and grows 2 cm each week. Let x be weeks and y the height in cm. What rule gives y, as y = mx + b?

  5. Ren's candle is 30 cm tall at hour 2 and 24 cm at hour 5. Let x be hours and y the height in cm. What rule gives y, as y = mx + b?

  6. Tala's bottle starts at 750 mL and has 600 mL after 3 steady hours of sipping. Let x be hours and y the mL left. What rule gives y, as y = mx + b?

  7. Zee's line passes through (1, 4) and (3, 10). What is y on the line when x = 6?

  8. Ari's line passes through (2, 7) and (4, 3). What is y on the line when x = 5?

  9. Esme wants a rule for the line through (2, 7) and (5, 16). Which rule fits both points?

    • y = 3x + 1
    • y = x + 3
    • y = 3x
    • y = 3x + 7
  10. Kira wants a rule for the line through (2, 1) and (6, 7). Which rule fits both points?

    • y = 3x ÷ 2 − 2
    • y = 3x ÷ 2 + 2
    • y = 3x ÷ 2 + 1
    • y = 2x ÷ 3 − 2
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Write y = mx + b from a slope and a point, a y-intercept and a point, or two points

Answer Key - Grade 8 Math Worksheet - Challenge Me

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

  1. Luz's line passes through (-4, -1) and (4, 5). What rule, written as y = mx + b, gives the line?

    y = 3x ÷ 4 + 2
  2. Milo's line passes through (2, 5.5) and (6, 7.5). What rule, written as y = mx + b, gives the line?

    y = 0.5x + 4.5
  3. Noah's line passes through (5, 3.5) and (10, 8). What rule, written as y = mx + b, gives the line?

    y = 0.9x − 1
  4. Pia's plant is 14 cm tall at week 3 and grows 2 cm each week. Let x be weeks and y the height in cm. What rule gives y, as y = mx + b?

    y = 2x + 8
  5. Ren's candle is 30 cm tall at hour 2 and 24 cm at hour 5. Let x be hours and y the height in cm. What rule gives y, as y = mx + b?

    y = -2x + 34
  6. Tala's bottle starts at 750 mL and has 600 mL after 3 steady hours of sipping. Let x be hours and y the mL left. What rule gives y, as y = mx + b?

    y = -50x + 750
  7. Zee's line passes through (1, 4) and (3, 10). What is y on the line when x = 6?

    19
  8. Ari's line passes through (2, 7) and (4, 3). What is y on the line when x = 5?

    1
  9. Esme wants a rule for the line through (2, 7) and (5, 16). Which rule fits both points?

    • y = 3x + 1
    • y = x + 3
    • y = 3x
    • y = 3x + 7
  10. Kira wants a rule for the line through (2, 1) and (6, 7). Which rule fits both points?

    • y = 3x ÷ 2 − 2
    • y = 3x ÷ 2 + 2
    • y = 3x ÷ 2 + 1
    • y = 2x ÷ 3 − 2