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

Grade 8 Math Worksheet - Challenge Me

NameDate

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

  1. Kira meets the rule 2y = 8x + 6 in math club. What is the slope of its line?

  2. Luz meets the rule 3y = 6x − 12 in math club. What is the y-intercept of its line?

  3. Milo meets the rule y − 4 = 2x in math club. What is the y-intercept of its line?

  4. Noah meets the rule y + 6 = 5x in math club. What is the y-intercept of its line?

  5. Ari meets the line y = -x ÷ 2 − 9 in math club. What is its y-intercept?

  6. Esme graphs y = -x + 3 and then y = -x − 4. How does the new line compare with the first one?

    • Steeper, through the same point on the y-axis
    • Same steepness, moved down 7
    • Same steepness, moved up 7
    • Same steepness, moved down 4
  7. Jun graphs y = 4x − 2 and then y = 4x + 5. How does the new line compare with the first one?

    • Same steepness, moved up 5
    • Same steepness, moved down 7
    • Steeper, through the same point on the y-axis
    • Same steepness, moved up 7
  8. Noah's candle follows h = 24 − 1.5t, with h its height in cm after t hours. What does the -1.5 in the rule tell?

    • The candle starts 1.5 cm tall
    • The candle burns out after 1.5 hours
    • The candle gets 1.5 cm taller each hour
    • The candle gets 1.5 cm shorter each hour
  9. In Ren's puzzle game, the stars follow s = 10n + 50 after n levels. What does the 10 tell?

    • There are 10 levels
    • Each level adds 10 stars
    • The game starts with 10 stars
  10. Luz meets the line y = 0.25x − 3.5 in math club. What is its y-intercept?

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

Answer Key - Grade 8 Math Worksheet - Challenge Me

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

  1. Kira meets the rule 2y = 8x + 6 in math club. What is the slope of its line?

    4
  2. Luz meets the rule 3y = 6x − 12 in math club. What is the y-intercept of its line?

    -4
  3. Milo meets the rule y − 4 = 2x in math club. What is the y-intercept of its line?

    4
  4. Noah meets the rule y + 6 = 5x in math club. What is the y-intercept of its line?

    -6
  5. Ari meets the line y = -x ÷ 2 − 9 in math club. What is its y-intercept?

    -9
  6. Esme graphs y = -x + 3 and then y = -x − 4. How does the new line compare with the first one?

    • Steeper, through the same point on the y-axis
    • Same steepness, moved down 7
    • Same steepness, moved up 7
    • Same steepness, moved down 4
  7. Jun graphs y = 4x − 2 and then y = 4x + 5. How does the new line compare with the first one?

    • Same steepness, moved up 5
    • Same steepness, moved down 7
    • Steeper, through the same point on the y-axis
    • Same steepness, moved up 7
  8. Noah's candle follows h = 24 − 1.5t, with h its height in cm after t hours. What does the -1.5 in the rule tell?

    • The candle starts 1.5 cm tall
    • The candle burns out after 1.5 hours
    • The candle gets 1.5 cm taller each hour
    • The candle gets 1.5 cm shorter each hour
  9. In Ren's puzzle game, the stars follow s = 10n + 50 after n levels. What does the 10 tell?

    • There are 10 levels
    • Each level adds 10 stars
    • The game starts with 10 stars
  10. Luz meets the line y = 0.25x − 3.5 in math club. What is its y-intercept?

    -3.5