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9th Grade Slope and Linear Equations Worksheet — Level 3 — Practice Set 4 — 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 3 — 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.Does the point (2, 0) lie on the line y = −5x + 7?
  1. AYes
  2. BNo

Answer: No

Substitute x = 2: y = −5 × 2 + 7 = −3, not 0.

2.A line has a slope of 1 and passes through (−1, −3). Find its equation.

Answer: y = x − 2

  1. y = 1x + (y-intercept)
  2. −3 = 1 × (−1) + (y-intercept)
  3. y-intercept = −3 − (−1) = −2
  4. y = x − 2
3.Does the point (0, 3) lie on the line y = 2x + 5?
  1. AYes
  2. BNo

Answer: No

Substitute x = 0: y = 2 × 0 + 5 = 5, not 3.

4.A line has a slope of 4 and passes through (−3, −17). Find its equation.

Answer: y = 4x − 5

  1. y = 4x + (y-intercept)
  2. −17 = 4 × (−3) + (y-intercept)
  3. y-intercept = −17 − (−12) = −5
  4. y = 4x − 5
5.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.

6.Does the point (−1, 4) lie on the line y = 5x + 9?
  1. AYes
  2. BNo

Answer: Yes

Substitute x = −1: y = 5 × (−1) + 9 = 4, which matches.

7.A line has a slope of 3 and passes through (−2, −12). Find its equation.

Answer: y = 3x − 6

  1. y = 3x + (y-intercept)
  2. −12 = 3 × (−2) + (y-intercept)
  3. y-intercept = −12 − (−6) = −6
  4. y = 3x − 6
8.A line has a slope of −5 and passes through (−1, −1). Find its equation.

Answer: y = −5x − 6

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

Answer: slope −3; 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.

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

Answer: slope 3; 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.

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