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9th Grade Slope and Linear Equations Worksheet — Level 3 — 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 — 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 (−3, −15) lie on the line y = 3x − 6?
  1. AYes
  2. BNo

Answer: Yes

Substitute x = −3: y = 3 × (−3) − 6 = −15, which matches.

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

Answer: slope 4; 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.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.

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

Answer: Yes

Substitute x = 0: y = −4 × 0 − 4 = −4, which matches.

6.Does the point (0, 11) lie on the line y = x + 9?
  1. AYes
  2. BNo

Answer: No

Substitute x = 0: y = 1 × 0 + 9 = 9, not 11.

7.For the line y = −x − 6, write the slope and the y-intercept.

Answer: slope −1; 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.

8.Does the point (3, 7) lie on the line y = 3x + 1?
  1. AYes
  2. BNo

Answer: No

Substitute x = 3: y = 3 × 3 + 1 = 10, not 7.

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

Answer: y = −2x − 1

  1. y = −2x + (y-intercept)
  2. 1 = −2 × (−1) + (y-intercept)
  3. y-intercept = 1 − 2 = −1
  4. y = −2x − 1
10.Does the point (2, −15) lie on the line y = −5x − 5?
  1. AYes
  2. BNo

Answer: Yes

Substitute x = 2: y = −5 × 2 − 5 = −15, which matches.

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