10th Grade Slope and Linear Equations Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the 10th Grade linear relationships & graphs worksheet.
10th 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).
- AYes
- BNo
Answer: No
Substitute x = 1: y = −2 × 1 + 5 = 3, not 0.
- AYes
- BNo
Answer: No
Substitute x = 0: y = 1 × 0 − 3 = −3, not −4.
Answer: y = −4x + 7
- y = −4x + (y-intercept)
- −9 = −4 × 4 + (y-intercept)
- y-intercept = −9 − (−16) = 7
- y = −4x + 7
Answer: slope 5; 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: y = 4x − 7
- y = 4x + (y-intercept)
- −15 = 4 × (−2) + (y-intercept)
- y-intercept = −15 − (−8) = −7
- y = 4x − 7
- AYes
- BNo
Answer: No
Substitute x = 1: y = 2 × 1 + 8 = 10, not 8.
- AYes
- BNo
Answer: Yes
Substitute x = −5: y = 2 × (−5) + 7 = −3, which matches.
Answer: slope 4; 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: slope −4; 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 −2; y-intercept −9
In y = (slope)x + (y-intercept), the number multiplying x is the slope and the constant is where the line crosses the y-axis.
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.