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9th Grade Slope and Linear Equations Worksheet — Level 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 — 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 = −6x + 3, write the slope and the y-intercept.

Answer: slope −6; y-intercept 3

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

Answer:

  1. slope = rise ÷ run = (0 − 1) ÷ (−2 − 2)
  2. = −1 ÷ −4 =
3.A line has a slope of 5 and passes through (−3, −11). Find its equation.

Answer: y = 5x + 4

  1. y = 5x + (y-intercept)
  2. −11 = 5 × (−3) + (y-intercept)
  3. y-intercept = −11 − (−15) = 4
  4. y = 5x + 4
4.A line has a slope of −3 and passes through (0, 1). Find its equation.

Answer: y = −3x + 1

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

Answer: y = −5x − 5

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

Answer: slope −5; 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.

7.Find the slope of the line through (−2, 6) and (−4, 4).

Answer: 1

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

Answer: 2

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

Answer:

  1. slope = rise ÷ run = (0 − 4) ÷ (−4 − (−1))
  2. = −4 ÷ −3 =
10.For the line y = −5x − 7, write the slope and the y-intercept.

Answer: slope −5; 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.

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