Year 9 Gradient and Linear Equations Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 9 linear relationships & graphs worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Linear Relationships & GraphsYear 9 Gradient and Linear Equations Worksheet — Level 1 — 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 = (6 − 2) ÷ (1 − (−1))
- = 4 ÷ 2 = 2
Answer: gradient 6; 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 −4; 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 −1; 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: 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: 3
- gradient = rise ÷ run = (9 − 6) ÷ (2 − 1)
- = 3 ÷ 1 = 3
Answer: −3
- gradient = rise ÷ run = (9 − 0) ÷ (−2 − 1)
- = 9 ÷ −3 = −3
Answer: 2
- gradient = rise ÷ run = (9 − 3) ÷ (5 − 2)
- = 6 ÷ 3 = 2
Answer: −1
- gradient = rise ÷ run = (6 − 2) ÷ (2 − 6)
- = 4 ÷ −4 = −1
Answer: 3
- gradient = rise ÷ run = (14 − (−1)) ÷ (8 − 3)
- = 15 ÷ 5 = 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.