Year 10 Gradient and Linear Equations Worksheet — Level 1 — Practice Set 3 — 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 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: gradient 1; 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 −6; 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: 1
- gradient = rise ÷ run = (5 − 0) ÷ (9 − 4)
- = 5 ÷ 5 = 1
Answer: 3
- gradient = rise ÷ run = (−4 − 5) ÷ (−7 − (−4))
- = −9 ÷ −3 = 3
Answer: −3
- gradient = rise ÷ run = (8 − 2) ÷ (−2 − 0)
- = 6 ÷ −2 = −3
Answer: gradient −3; y-intercept −8
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 3; 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.
Answer: −2
- gradient = rise ÷ run = (−14 − (−4)) ÷ (9 − 4)
- = −10 ÷ 5 = −2
Answer: gradient −1; 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: −3
- gradient = rise ÷ run = (12 − 6) ÷ (4 − 6)
- = 6 ÷ −2 = −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.