Year 9 Gradient and Linear Equations Worksheet — Level 1 — Practice Set 3 — 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 3 — Answers
Show your working. Gradient = rise ÷ run; the equation of a line can be written as y = (gradient)x + (y-intercept).
Answer: gradient −4; 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 = (3 − (−6)) ÷ (3 − 6)
- = 9 ÷ −3 = −3
Answer: gradient 4; 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 2; 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 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: 1
- gradient = rise ÷ run = (−1 − 0) ÷ (3 − 4)
- = −1 ÷ −1 = 1
Answer: −3
- gradient = rise ÷ run = (−9 − 0) ÷ (6 − 3)
- = −9 ÷ 3 = −3
Answer: 2
- gradient = rise ÷ run = (8 − 0) ÷ (10 − 6)
- = 8 ÷ 4 = 2
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: −3
- gradient = rise ÷ run = (18 − 3) ÷ (−11 − (−6))
- = 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.