Year 9 Gradient and Linear Equations Worksheet — Level 3 — 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 3 — 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 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: 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: y = −3x − 7
- y = −3x + (y-intercept)
- −10 = −3 × 1 + (y-intercept)
- y-intercept = −10 − (−3) = −7
- y = −3x − 7
- AYes
- BNo
Answer: Yes
Substitute x = 1: y = −4 × 1 + 3 = −1, which matches.
Answer: y = 2x
- y = 2x + (y-intercept)
- 2 = 2 × 1 + (y-intercept)
- y-intercept = 2 − 2 = 0
- y = 2x
Answer: y = −2x − 8
- y = −2x + (y-intercept)
- −8 = −2 × 0 + (y-intercept)
- y-intercept = −8 − 0 = −8
- y = −2x − 8
- AYes
- BNo
Answer: Yes
Substitute x = −2: y = 3 × (−2) − 2 = −8, which matches.
Answer: y = −5x − 3
- y = −5x + (y-intercept)
- 2 = −5 × (−1) + (y-intercept)
- y-intercept = 2 − 5 = −3
- y = −5x − 3
Answer: gradient −1; y-intercept 5
In y = (gradient)x + (y-intercept), the number multiplying x is the gradient and the constant is where the line crosses the y-axis.
- AYes
- BNo
Answer: No
Substitute x = −3: y = 4 × (−3) + 3 = −9, not −7.
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.
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