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