Year 11 Gradient and Linear Equations Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 11 linear relationships & graphs worksheet.
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Linear Relationships & GraphsYear 11 Gradient and Linear Equations Worksheet — Level 3 — Practice Set 3 — Answers
Show your working. Gradient = rise ÷ run; the equation of a line can be written as y = (gradient)x + (y-intercept).
Answer: gradient −2; y-intercept −5
In y = (gradient)x + (y-intercept), the number multiplying x is the gradient and the constant is where the line crosses the y-axis.
Answer: y = −4x + 9
- y = −4x + (y-intercept)
- −7 = −4 × 4 + (y-intercept)
- y-intercept = −7 − (−16) = 9
- y = −4x + 9
- AYes
- BNo
Answer: Yes
Substitute x = −3: y = −1 × (−3) − 2 = 1, which matches.
Answer: y = −3x − 4
- y = −3x + (y-intercept)
- 2 = −3 × (−2) + (y-intercept)
- y-intercept = 2 − 6 = −4
- y = −3x − 4
Answer: gradient 2; y-intercept −2
In y = (gradient)x + (y-intercept), the number multiplying x is the gradient and the constant is where the line crosses the y-axis.
- AYes
- BNo
Answer: No
Substitute x = 1: y = 1 × 1 + 6 = 7, not 6.
Answer: gradient 3; y-intercept 1
In y = (gradient)x + (y-intercept), the number multiplying x is the gradient and the constant is where the line crosses the y-axis.
Answer: gradient 5; y-intercept −8
In y = (gradient)x + (y-intercept), the number multiplying x is the gradient and the constant is where the line crosses the y-axis.
- AYes
- BNo
Answer: No
Substitute x = −4: y = 2 × (−4) + 0 = −8, not −11.
Answer: y = −2x + 4
- y = −2x + (y-intercept)
- 8 = −2 × (−2) + (y-intercept)
- y-intercept = 8 − 4 = 4
- y = −2x + 4
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.