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Grade 8 Slope-Intercept Form (y = mx + b) Worksheet with Answers

Grade 8 (US) · Year 9 (UK) · Class 8 (India) · Math

Unit 3: Functions & SlopeSlope & Linear FunctionsCCSS 8.F.B.4

Reading slope and y-intercept from y = mx + b and writing equations of lines. This free middle school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.

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Slope-Intercept Form (y = mx + b)

Grade 8 · Math

Score___ / 12

Name

Class

Date

Learning goal: Slope & Linear Functions · CCSS 8.F.B.4

Directions: Use the pictures to help you. Solve each problem. Show your work, then write your answer in the box.

Example

For y = -6x + 10, find y when x = 5.

Answer: -20

RememberSlope and lines

runriseslope m = rise ÷ runm = (y₂ − y₁) ÷ (x₂ − x₁)y = mx + b (b = y-intercept)Parallel: same slopePerpendicular: slopes multiply to −1
  1. 1

    Write the equation of the line with slope 4 and y-intercept 3.

    Answer
  2. 2

    What is the slope of y = -6x - 1?

    -10-10-5-5551010
    Answer
  3. 3

    For y = -x - 5, find y when x = 4.

    -10-10-5-5551010
    Answer
  4. 4

    Write the equation of the line with slope 3 and y-intercept 8.

    Answer
  5. 5

    What is the slope of y = 2x - 5?

    -10-10-5-5551010
    Answer
  6. 6

    What is the slope of y = 6x - 1?

    -10-10-5-5551010
    Answer
  7. 7

    What is the slope of y = -3x - 2?

    -10-10-5-5551010
    Answer
  8. 8

    Write the equation of the line with slope 5 and y-intercept 10.

    Answer
  9. 9

    Write the equation of the line with slope -6 and y-intercept -4.

    Answer
  10. 10

    For y = x - 5, find y when x = 1.

    -10-10-5-5551010
    Answer
  11. 11

    What is the y-intercept of y = 2x - 8?

    -10-10-5-5551010
    Answer
  12. 12

    What is the y-intercept of y = -6x - 8?

    -10-10-5-5551010
    Answer

★ Challenge corner for fast finishers

What is the smallest number that leaves a remainder of 1 when divided by 2, 3 or 4, and is divisible by 5?

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/8/slope_intercept

Answer key (click to show)
  1. 1.y = 4x + 3
  2. 2.-6
  3. 3.-9
  4. 4.y = 3x + 8
  5. 5.2
  6. 6.6
  7. 7.-3
  8. 8.y = 5x + 10
  9. 9.y = -6x - 4
  10. 10.-4
  11. 11.-8
  12. 12.-8
  13. ★25 (challenge corner)

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What Are the Common Core and NGSS Standards? A Parent's GuideWhat learning standards are, how to read a code like 3.NF.A.1 or MS-PS1-2, what each grade covers in Math, English and Science, and how to use them at home.

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