10th Grade Slope and Linear Equations Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the 10th Grade linear relationships & graphs worksheet.
10th 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).
Answer:
- slope = rise ÷ run = (−1 − 3) ÷ (2 − 5)
- = −4 ÷ −3 =
Answer: y = −x + 4
- y = −1x + (y-intercept)
- 3 = −1 × 1 + (y-intercept)
- y-intercept = 3 − (−1) = 4
- y = −x + 4
Answer: slope 3; y-intercept −5
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: slope 6; 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.
Answer: 8
- slope = rise ÷ run = (−5 − 3) ÷ (−7 − (−6))
- = −8 ÷ −1 = 8
Answer: y = x − 6
- y = 1x + (y-intercept)
- −9 = 1 × (−3) + (y-intercept)
- y-intercept = −9 − (−3) = −6
- y = x − 6
Answer: y = 4x + 3
- y = 4x + (y-intercept)
- 11 = 4 × 2 + (y-intercept)
- y-intercept = 11 − 8 = 3
- y = 4x + 3
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.
Answer: slope 3; 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.
Answer: y = −x − 2
- y = −1x + (y-intercept)
- −5 = −1 × 3 + (y-intercept)
- y-intercept = −5 − (−3) = −2
- y = −x − 2
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.