Success TutoringWorksheets

9th Grade Slope and Linear Equations Worksheet — Level 3 — Practice Set 3 — Answers

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

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Linear Relationships & Graphs

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

Answer: Yes

Substitute x = 3: y = −1 × 3 + 3 = 0, which matches.

2.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.

3.A line has a slope of 2 and passes through (−4, −5). Find its equation.

Answer: y = 2x + 3

  1. y = 2x + (y-intercept)
  2. −5 = 2 × (−4) + (y-intercept)
  3. y-intercept = −5 − (−8) = 3
  4. y = 2x + 3
4.A line has a slope of 5 and passes through (−4, −26). Find its equation.

Answer: y = 5x − 6

  1. y = 5x + (y-intercept)
  2. −26 = 5 × (−4) + (y-intercept)
  3. y-intercept = −26 − (−20) = −6
  4. y = 5x − 6
5.Does the point (4, 22) lie on the line y = 5x + 2?
  1. AYes
  2. BNo

Answer: Yes

Substitute x = 4: y = 5 × 4 + 2 = 22, which matches.

6.A line has a slope of 2 and passes through (4, 14). Find its equation.

Answer: y = 2x + 6

  1. y = 2x + (y-intercept)
  2. 14 = 2 × 4 + (y-intercept)
  3. y-intercept = 14 − 8 = 6
  4. y = 2x + 6
7.Does the point (3, −17) lie on the line y = −4x − 5?
  1. AYes
  2. BNo

Answer: Yes

Substitute x = 3: y = −4 × 3 − 5 = −17, which matches.

8.Does the point (3, −2) lie on the line y = −2x + 4?
  1. AYes
  2. BNo

Answer: Yes

Substitute x = 3: y = −2 × 3 + 4 = −2, which matches.

9.Does the point (4, −17) lie on the line y = −4x − 2?
  1. AYes
  2. BNo

Answer: No

Substitute x = 4: y = −4 × 4 − 2 = −18, not −17.

10.For the line y = 4x + 8, write the slope and the y-intercept.

Answer: slope 4; 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.

Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Marking tips

  • Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
  • For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
  • Celebrate what went well first, then pick one thing to work on next.

Great work. Here's what to try next: