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9th Grade Slope and Linear Equations Worksheet — Level 2 — Practice Set 2 — Answers

Answer sheet with worked solutions for the 9th Grade linear relationships & graphs worksheet.

Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Linear Relationships & Graphs

9th 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.Find the slope of the line through (2, −6) and (3, −4).

Answer: 2

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

Answer: slope −6; 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.

3.Find the slope of the line through (−1, 4) and (2, −4).

Answer: −

  1. slope = rise ÷ run = (−4 − 4) ÷ (2 − (−1))
  2. = −8 ÷ 3 = −
4.Find the slope of the line through (1, −5) and (0, −8).

Answer: 3

  1. slope = rise ÷ run = (−8 − (−5)) ÷ (0 − 1)
  2. = −3 ÷ −1 = 3
5.A line has a slope of −1 and passes through (2, −4). Find its equation.

Answer: y = −x − 2

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

Answer: −

  1. slope = rise ÷ run = (−3 − 1) ÷ (0 − (−5))
  2. = −4 ÷ 5 = −
7.A line has a slope of −1 and passes through (4, −6). Find its equation.

Answer: y = −x − 2

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

Answer: slope 3; y-intercept −5

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 = 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.

10.A line has a slope of 5 and passes through (−2, −10). Find its equation.

Answer: y = 5x

  1. y = 5x + (y-intercept)
  2. −10 = 5 × (−2) + (y-intercept)
  3. y-intercept = −10 − (−10) = 0
  4. y = 5x
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