Year 11 Gradient and Linear Equations Worksheet — Level 3 — Practice Set 2 — 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 2 — Answers
Show your working. Gradient = rise ÷ run; the equation of a line can be written as y = (gradient)x + (y-intercept).
Answer: y = −5x − 8
- y = −5x + (y-intercept)
- −13 = −5 × 1 + (y-intercept)
- y-intercept = −13 − (−5) = −8
- y = −5x − 8
Answer: y = 2x − 4
- y = 2x + (y-intercept)
- 4 = 2 × 4 + (y-intercept)
- y-intercept = 4 − 8 = −4
- y = 2x − 4
Answer: gradient 3; 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.
- AYes
- BNo
Answer: Yes
Substitute x = 1: y = 4 × 1 + 2 = 6, which matches.
- AYes
- BNo
Answer: Yes
Substitute x = 4: y = 5 × 4 + 1 = 21, which matches.
Answer: y = 2x − 4
- y = 2x + (y-intercept)
- −12 = 2 × (−4) + (y-intercept)
- y-intercept = −12 − (−8) = −4
- y = 2x − 4
Answer: gradient 3; y-intercept −7
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 = −5 × (−4) + 7 = 27, not 26.
Answer: gradient −5; 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.
Answer: y = −5x − 6
- y = −5x + (y-intercept)
- −21 = −5 × 3 + (y-intercept)
- y-intercept = −21 − (−15) = −6
- y = −5x − 6
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.