Year 10 Gradient and Linear Equations Worksheet — Level 2 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 10 linear relationships & graphs worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Linear Relationships & GraphsYear 10 Gradient and Linear Equations Worksheet — Level 2 — Practice Set 4 — Answers
Show your working. Gradient = rise ÷ run; the equation of a line can be written as y = (gradient)x + (y-intercept).
Answer: −
- gradient = rise ÷ run = (8 − 0) ÷ (0 − 3)
- = 8 ÷ −3 = −
Answer: gradient −4; 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: y = x + 7
- y = 1x + (y-intercept)
- 11 = 1 × 4 + (y-intercept)
- y-intercept = 11 − 4 = 7
- y = x + 7
Answer: gradient −1; 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: gradient 4; 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.
Answer: −
- gradient = rise ÷ run = (−11 − (−5)) ÷ (5 − 1)
- = −6 ÷ 4 = −
Answer: y = −x − 4
- y = −1x + (y-intercept)
- −8 = −1 × 4 + (y-intercept)
- y-intercept = −8 − (−4) = −4
- y = −x − 4
Answer: −
- gradient = rise ÷ run = (−11 − (−4)) ÷ (7 − 4)
- = −7 ÷ 3 = −
Answer: −4
- gradient = rise ÷ run = (2 − (−6)) ÷ (3 − 5)
- = 8 ÷ −2 = −4
Answer: y = −x + 1
- y = −1x + (y-intercept)
- 4 = −1 × (−3) + (y-intercept)
- y-intercept = 4 − 3 = 1
- y = −x + 1
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.