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Writing Equations of Lines: Classroom Packet

Grade 8 Algebra: Writing Equations of Lines

Name: ______________________Date: ____________Score: ____ / 8

Level 1

From slope and y-intercept

Directions: Write the equation of each line in the form y=mx+b{y = mx + b}.

  1. 1.
    m=3, b=2m = 3,\ b = 2
  2. 2.
    m=−2, b=5m = -2,\ b = 5
  3. 3.
    m=4, b=−1m = 4,\ b = -1
  4. 4.
    m=1, b=−6m = 1,\ b = -6
  5. 5.
    m=−5, b=0m = -5,\ b = 0
  6. 6.
    m=12, b=3m = \tfrac{1}{2},\ b = 3
  7. 7.
    m=−1, b=8m = -1,\ b = 8
  8. 8.
    m=0, b=−4m = 0,\ b = -4

Answer Key

Level 1

  1. 1. y=3x+2y = 3x + 2
  2. 2. y=−2x+5y = -2x + 5
  3. 3. y=4x−1y = 4x - 1
  4. 4. y=x−6y = x - 6
  5. 5. y=−5xy = -5x
  6. 6. y=12x+3y = \tfrac{1}{2}x + 3
  7. 7. y=−x+8y = -x + 8
  8. 8. y=−4y = -4

Grade 8 Algebra: Writing Equations of Lines

Name: ______________________Date: ____________Score: ____ / 8

Level 2

From slope and a point

Directions: Write the equation of each line in the form y=mx+b{y = mx + b}.

  1. 1.
    m=2, through (1,5)m = 2,\ \text{through } (1, 5)
  2. 2.
    m=3, through (2,4)m = 3,\ \text{through } (2, 4)
  3. 3.
    m=−1, through (3,1)m = -1,\ \text{through } (3, 1)
  4. 4.
    m=−4, through (1,−2)m = -4,\ \text{through } (1, -2)
  5. 5.
    m=5, through (−1,0)m = 5,\ \text{through } (-1, 0)
  6. 6.
    m=12, through (4,7)m = \tfrac{1}{2},\ \text{through } (4, 7)
  7. 7.
    m=−23, through (3,1)m = -\tfrac{2}{3},\ \text{through } (3, 1)
  8. 8.
    m=0, through (5,−3)m = 0,\ \text{through } (5, -3)

Answer Key

Level 2

  1. 1. y=2x+3y = 2x + 3
  2. 2. y=3x−2y = 3x - 2
  3. 3. y=−x+4y = -x + 4
  4. 4. y=−4x+2y = -4x + 2
  5. 5. y=5x+5y = 5x + 5
  6. 6. y=12x+5y = \tfrac{1}{2}x + 5
  7. 7. y=−23x+3y = -\tfrac{2}{3}x + 3
  8. 8. y=−3y = -3

Grade 8 Algebra: Writing Equations of Lines

Name: ______________________Date: ____________Score: ____ / 8

Level 3

From two points

Directions: Write the equation of each line in the form y=mx+b{y = mx + b}.

  1. 1.
    (0,1) and (2,7)(0, 1) \text{ and } (2, 7)
  2. 2.
    (1,3) and (3,7)(1, 3) \text{ and } (3, 7)
  3. 3.
    (2,5) and (4,1)(2, 5) \text{ and } (4, 1)
  4. 4.
    (−1,−4) and (2,5)(-1, -4) \text{ and } (2, 5)
  5. 5.
    (3,2) and (6,4)(3, 2) \text{ and } (6, 4)
  6. 6.
    (−2,6) and (2,4)(-2, 6) \text{ and } (2, 4)
  7. 7.
    (1,−1) and (5,−1)(1, -1) \text{ and } (5, -1)
  8. 8.
    (−3,−5) and (1,3)(-3, -5) \text{ and } (1, 3)

Answer Key

Level 3

  1. 1. y=3x+1y = 3x + 1
  2. 2. y=2x+1y = 2x + 1
  3. 3. y=−2x+9y = -2x + 9
  4. 4. y=3x−1y = 3x - 1
  5. 5. y=23xy = \tfrac{2}{3}x
  6. 6. y=−12x+5y = -\tfrac{1}{2}x + 5
  7. 7. y=−1y = -1
  8. 8. y=2x+1y = 2x + 1