10th Grade Slope and Linear Equations Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 10th Grade linear relationships & graphs worksheet.
10th 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).
Answer: y = x − 6
- y = 1x + (y-intercept)
- −4 = 1 × 2 + (y-intercept)
- y-intercept = −4 − 2 = −6
- y = x − 6
Answer: y = 5x + 2
- y = 5x + (y-intercept)
- 12 = 5 × 2 + (y-intercept)
- y-intercept = 12 − 10 = 2
- y = 5x + 2
- AYes
- BNo
Answer: No
Substitute x = 0: y = −2 × 0 − 9 = −9, not −11.
- AYes
- BNo
Answer: No
Substitute x = 2: y = 4 × 2 + 1 = 9, not 12.
- AYes
- BNo
Answer: No
Substitute x = −3: y = 2 × (−3) + 8 = 2, not −1.
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.
- AYes
- BNo
Answer: Yes
Substitute x = −1: y = −3 × (−1) − 3 = 0, which matches.
Answer: slope 2; y-intercept 1
In y = (slope)x + (y-intercept), the number multiplying x is the slope and the constant is where the line crosses the y-axis.
Answer: y = −x − 6
- y = −1x + (y-intercept)
- −6 = −1 × 0 + (y-intercept)
- y-intercept = −6 − 0 = −6
- y = −x − 6
Answer: y = −3x + 5
- y = −3x + (y-intercept)
- 2 = −3 × 1 + (y-intercept)
- y-intercept = 2 − (−3) = 5
- y = −3x + 5
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.