Year 9 Gradient and Linear Equations Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 9 linear relationships & graphs worksheet.
Year 9 Gradient and Linear Equations Worksheet — Level 1 — Practice Set 4 — Answers
Show your working. Gradient = rise ÷ run; the equation of a line can be written as y = (gradient)x + (y-intercept).
Answer: −3
- gradient = rise ÷ run = (−6 − (−3)) ÷ (3 − 2)
- = −3 ÷ 1 = −3
Answer: 1
- gradient = rise ÷ run = (3 − 0) ÷ (1 − (−2))
- = 3 ÷ 3 = 1
Answer: 1
- gradient = rise ÷ run = (−1 − (−5)) ÷ (1 − (−3))
- = 4 ÷ 4 = 1
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 = (2 − 6) ÷ (−8 − (−4))
- = −4 ÷ −4 = 1
Answer: gradient 5; 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 −6; 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 −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: 2
- gradient = rise ÷ run = (4 − 2) ÷ (−4 − (−5))
- = 2 ÷ 1 = 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.
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.