Year 9 Gradient and Linear Equations Worksheet — Level 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 — Answers
Show your working. Gradient = rise ÷ run; the equation of a line can be written as y = (gradient)x + (y-intercept).
- AYes
- BNo
Answer: No
Substitute x = −1: y = −2 × (−1) + 4 = 6, not 4.
Answer: gradient 1; 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: y = −3x + 9
- y = −3x + (y-intercept)
- 21 = −3 × (−4) + (y-intercept)
- y-intercept = 21 − 12 = 9
- y = −3x + 9
- AYes
- BNo
Answer: No
Substitute x = −3: y = 4 × (−3) − 5 = −17, not −15.
Answer: y = −5x + 1
- y = −5x + (y-intercept)
- −14 = −5 × 3 + (y-intercept)
- y-intercept = −14 − (−15) = 1
- y = −5x + 1
- AYes
- BNo
Answer: Yes
Substitute x = −5: y = −5 × (−5) + 6 = 31, which matches.
Answer: gradient −1; 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: 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: y = 4x + 4
- y = 4x + (y-intercept)
- 0 = 4 × (−1) + (y-intercept)
- y-intercept = 0 − (−4) = 4
- y = 4x + 4
Answer: y = −3x − 5
- y = −3x + (y-intercept)
- 4 = −3 × (−3) + (y-intercept)
- y-intercept = 4 − 9 = −5
- y = −3x − 5
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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