Year 10 Gradient and Linear Equations Worksheet — Level 2 — Practice Set 2 — 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 2 — 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 = (4 − (−1)) ÷ (7 − 3)
- = 5 ÷ 4 =
Answer: gradient 2; 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: y = 2x − 6
- y = 2x + (y-intercept)
- −12 = 2 × (−3) + (y-intercept)
- y-intercept = −12 − (−6) = −6
- y = 2x − 6
Answer: y = 4x + 2
- y = 4x + (y-intercept)
- 10 = 4 × 2 + (y-intercept)
- y-intercept = 10 − 8 = 2
- y = 4x + 2
Answer: gradient −6; 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: y = −x + 9
- y = −1x + (y-intercept)
- 11 = −1 × (−2) + (y-intercept)
- y-intercept = 11 − 2 = 9
- y = −x + 9
Answer: −2
- gradient = rise ÷ run = (−7 − (−3)) ÷ (7 − 5)
- = −4 ÷ 2 = −2
Answer: gradient 4; 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:
- gradient = rise ÷ run = (9 − 2) ÷ (6 − 1)
- = 7 ÷ 5 =
Answer: y = −3x + 3
- y = −3x + (y-intercept)
- 3 = −3 × 0 + (y-intercept)
- y-intercept = 3 − 0 = 3
- y = −3x + 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.