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. Esme meets the rule y = 6(x + 7) in math club. What is the y-intercept of its line?

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

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

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

  5. Zee meets the line y = 2.5x − 0.5 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?

    • Same steepness, moved down 4
    • Same steepness, moved up 7
    • Same steepness, moved down 7
    • Steeper, through the same point on the y-axis
  7. 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 gets 1.5 cm taller each hour
    • The candle gets 1.5 cm shorter each hour
    • The candle starts 1.5 cm tall
    • The candle burns out after 1.5 hours
  8. After sunset, the temperature at Pia's campsite follows T = -2h + 6, with T in °C after h hours. What does the 6 tell?

    • It was 6 °C at sunset (hour 0)
    • It will be 6 °C in 2 hours
    • The temperature drops 6 °C each hour
  9. In Ren's puzzle game, the stars follow s = 10n + 50 after n levels. What does the 10 tell?

    • The game starts with 10 stars
    • There are 10 levels
    • Each level adds 10 stars
  10. Kira meets the line y = 5x ÷ 3 + 2 in math club. What is its slope?

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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. Esme meets the rule y = 6(x + 7) in math club. What is the y-intercept of its line?

    42
  2. Jun meets the rule y = 4(x − 3) in math club. What is the y-intercept of its line?

    -12
  3. Kira meets the rule 2y = 8x + 6 in math club. What is the slope of its line?

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

    -4
  5. Zee meets the line y = 2.5x − 0.5 in math club. What is its y-intercept?

    -0.5
  6. Esme graphs y = -x + 3 and then y = -x − 4. How does the new line compare with the first one?

    • Same steepness, moved down 4
    • Same steepness, moved up 7
    • Same steepness, moved down 7
    • Steeper, through the same point on the y-axis
  7. 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 gets 1.5 cm taller each hour
    • The candle gets 1.5 cm shorter each hour
    • The candle starts 1.5 cm tall
    • The candle burns out after 1.5 hours
  8. After sunset, the temperature at Pia's campsite follows T = -2h + 6, with T in °C after h hours. What does the 6 tell?

    • It was 6 °C at sunset (hour 0)
    • It will be 6 °C in 2 hours
    • The temperature drops 6 °C each hour
  9. In Ren's puzzle game, the stars follow s = 10n + 50 after n levels. What does the 10 tell?

    • The game starts with 10 stars
    • There are 10 levels
    • Each level adds 10 stars
  10. Kira meets the line y = 5x ÷ 3 + 2 in math club. What is its slope?

    5/3