Year 11 Gradient and Linear Equations Worksheet — Level 1 — 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 1 — 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: −2
- gradient = rise ÷ run = (7 − 1) ÷ (−7 − (−4))
- = 6 ÷ −3 = −2
Answer: 2
- gradient = rise ÷ run = (−8 − (−6)) ÷ (5 − 6)
- = −2 ÷ −1 = 2
Answer: −1
- gradient = rise ÷ run = (−10 − (−5)) ÷ (8 − 3)
- = −5 ÷ 5 = −1
Answer: gradient −5; y-intercept 6
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: −2
- gradient = rise ÷ run = (−9 − (−5)) ÷ (−1 − (−3))
- = −4 ÷ 2 = −2
Answer: 2
- gradient = rise ÷ run = (10 − 0) ÷ (1 − (−4))
- = 10 ÷ 5 = 2
Answer: 2
- gradient = rise ÷ run = (0 − (−2)) ÷ (3 − 2)
- = 2 ÷ 1 = 2
Answer: gradient −2; 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.
Answer: gradient 4; y-intercept −9
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: 3
- gradient = rise ÷ run = (13 − 4) ÷ (5 − 2)
- = 9 ÷ 3 = 3
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.