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8th Grade Slope and Linear Equations Worksheet — Level 2 — Practice Set 3 — 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 3 — 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 (5, 0) and (3, −4).

Answer: 2

  1. slope = rise ÷ run = (−4 − 0) ÷ (3 − 5)
  2. = −4 ÷ −2 = 2
2.Find the slope of the line through (0, −6) and (5, −4).

Answer:

  1. slope = rise ÷ run = (−4 − (−6)) ÷ (5 − 0)
  2. = 2 ÷ 5 =
3.For the line y = 2x − 4, write the slope and the y-intercept.

Answer: slope 2; 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.

4.Find the slope of the line through (−1, 3) and (1, 7).

Answer: 2

  1. slope = rise ÷ run = (7 − 3) ÷ (1 − (−1))
  2. = 4 ÷ 2 = 2
5.Find the slope of the line through (−3, −1) and (−6, −6).

Answer:

  1. slope = rise ÷ run = (−6 − (−1)) ÷ (−6 − (−3))
  2. = −5 ÷ −3 =
6.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.

7.For the line y = −5x + 8, write the slope and the y-intercept.

Answer: slope −5; 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.

8.A line has a slope of −4 and passes through (−3, 9). Find its equation.

Answer: y = −4x − 3

  1. y = −4x + (y-intercept)
  2. 9 = −4 × (−3) + (y-intercept)
  3. y-intercept = 9 − 12 = −3
  4. y = −4x − 3
9.Find the slope of the line through (−1, 3) and (1, 10).

Answer:

  1. slope = rise ÷ run = (10 − 3) ÷ (1 − (−1))
  2. = 7 ÷ 2 =
10.Find the slope of the line through (6, 1) and (9, 9).

Answer:

  1. slope = rise ÷ run = (9 − 1) ÷ (9 − 6)
  2. = 8 ÷ 3 =
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