Year 11 Gradient and Linear Equations Worksheet — Level 3 — Practice Set 4 — 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 4 — Answers
Show your working. Gradient = rise ÷ run; the equation of a line can be written as y = (gradient)x + (y-intercept).
- AYes
- BNo
Answer: No
Substitute x = 2: y = −5 × 2 + 4 = −6, not −9.
Answer: y = −4x
- y = −4x + (y-intercept)
- 12 = −4 × (−3) + (y-intercept)
- y-intercept = 12 − 12 = 0
- y = −4x
- AYes
- BNo
Answer: No
Substitute x = −5: y = 1 × (−5) − 5 = −10, not −11.
Answer: gradient 3; y-intercept 4
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: Yes
Substitute x = −2: y = −5 × (−2) − 7 = 3, which matches.
Answer: gradient 1; 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 = −3 × 1 − 7 = −10, not −7.
Answer: y = 2x + 1
- y = 2x + (y-intercept)
- −5 = 2 × (−3) + (y-intercept)
- y-intercept = −5 − (−6) = 1
- y = 2x + 1
Answer: y = −4x + 4
- y = −4x + (y-intercept)
- 0 = −4 × 1 + (y-intercept)
- y-intercept = 0 − (−4) = 4
- y = −4x + 4
Answer: gradient 2; y-intercept −3
In y = (gradient)x + (y-intercept), the number multiplying x is the gradient 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.