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8th Grade Slope and Linear Equations Worksheet — Level 2 — Practice Set 2 — Answers

Answer sheet with worked solutions for the 8th Grade linear relationships & graphs worksheet.

Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Linear Relationships & Graphs

8th Grade Slope and Linear Equations Worksheet — Level 2 — Practice Set 2 — Answers

Show your work. Slope = rise ÷ run; the equation of a line can be written as y = (slope)x + (y-intercept).

1.For the line y = −5x + 4, write the slope and the y-intercept.

Answer: slope −5; y-intercept 4

In y = (slope)x + (y-intercept), the number multiplying x is the slope and the constant is where the line crosses the y-axis.

2.A line has a slope of −5 and passes through (0, −8). Find its equation.

Answer: y = −5x − 8

  1. y = −5x + (y-intercept)
  2. −8 = −5 × 0 + (y-intercept)
  3. y-intercept = −8 − 0 = −8
  4. y = −5x − 8
3.Find the slope of the line through (4, −6) and (6, −1).

Answer:

  1. slope = rise ÷ run = (−1 − (−6)) ÷ (6 − 4)
  2. = 5 ÷ 2 =
4.A line has a slope of 5 and passes through (0, −7). Find its equation.

Answer: y = 5x − 7

  1. y = 5x + (y-intercept)
  2. −7 = 5 × 0 + (y-intercept)
  3. y-intercept = −7 − 0 = −7
  4. y = 5x − 7
5.A line has a slope of −3 and passes through (2, 3). Find its equation.

Answer: y = −3x + 9

  1. y = −3x + (y-intercept)
  2. 3 = −3 × 2 + (y-intercept)
  3. y-intercept = 3 − (−6) = 9
  4. y = −3x + 9
6.For the line y = −x − 8, write the slope and the y-intercept.

Answer: slope −1; y-intercept −8

In y = (slope)x + (y-intercept), the number multiplying x is the slope and the constant is where the line crosses the y-axis.

7.Find the slope of the line through (−2, −1) and (2, 0).

Answer:

  1. slope = rise ÷ run = (0 − (−1)) ÷ (2 − (−2))
  2. = 1 ÷ 4 =
8.For the line y = −4x + 7, write the slope and the y-intercept.

Answer: slope −4; y-intercept 7

In y = (slope)x + (y-intercept), the number multiplying x is the slope and the constant is where the line crosses the y-axis.

9.A line has a slope of 2 and passes through (−4, 1). Find its equation.

Answer: y = 2x + 9

  1. y = 2x + (y-intercept)
  2. 1 = 2 × (−4) + (y-intercept)
  3. y-intercept = 1 − (−8) = 9
  4. y = 2x + 9
10.Find the slope of the line through (4, 1) and (0, 9).

Answer: −2

  1. slope = rise ÷ run = (9 − 1) ÷ (0 − 4)
  2. = 8 ÷ −4 = −2
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