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