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8th Grade Slope and Linear Equations Worksheet — Level 2 — Practice Set 4 — Answers

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

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8th Grade Slope and Linear Equations Worksheet — Level 2 — Practice Set 4 — Answers

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

1.Find the slope of the line through (−2, −6) and (−1, −14).

Answer: −8

  1. slope = rise ÷ run = (−14 − (−6)) ÷ (−1 − (−2))
  2. = −8 ÷ 1 = −8
2.For the line y = 5x − 1, write the slope and the y-intercept.

Answer: slope 5; y-intercept −1

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

3.Find the slope of the line through (−3, −1) and (−4, −4).

Answer: 3

  1. slope = rise ÷ run = (−4 − (−1)) ÷ (−4 − (−3))
  2. = −3 ÷ −1 = 3
4.A line has a slope of −5 and passes through (−1, 12). Find its equation.

Answer: y = −5x + 7

  1. y = −5x + (y-intercept)
  2. 12 = −5 × (−1) + (y-intercept)
  3. y-intercept = 12 − 5 = 7
  4. y = −5x + 7
5.A line has a slope of 3 and passes through (2, 5). Find its equation.

Answer: y = 3x − 1

  1. y = 3x + (y-intercept)
  2. 5 = 3 × 2 + (y-intercept)
  3. y-intercept = 5 − 6 = −1
  4. y = 3x − 1
6.For the line y = −3x + 6, write the slope and the y-intercept.

Answer: slope −3; y-intercept 6

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.For the line y = 3x + 1, write the slope and the y-intercept.

Answer: slope 3; y-intercept 1

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

8.For the line y = −4x + 2, write the slope and the y-intercept.

Answer: slope −4; y-intercept 2

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.For the line y = 3x − 7, write the slope and the y-intercept.

Answer: slope 3; 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.

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

Answer: slope −4; y-intercept 1

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

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