Year 9 Gradient and Linear Equations Worksheet — Level 2 — Practice Set 4 — 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 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 = (−7 − 2) ÷ (−1 − 2)
- = −9 ÷ −3 = 3
Answer: −
- gradient = rise ÷ run = (−8 − (−1)) ÷ (0 − (−3))
- = −7 ÷ 3 = −
Answer:
- gradient = rise ÷ run = (6 − 5) ÷ (1 − (−3))
- = 1 ÷ 4 =
Answer: y = 5x + 5
- y = 5x + (y-intercept)
- 5 = 5 × 0 + (y-intercept)
- y-intercept = 5 − 0 = 5
- y = 5x + 5
Answer: −
- gradient = rise ÷ run = (−3 − (−5)) ÷ (−2 − 2)
- = 2 ÷ −4 = −
Answer: −
- gradient = rise ÷ run = (−6 − 1) ÷ (11 − 6)
- = −7 ÷ 5 = −
Answer: gradient 6; 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: gradient 2; 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 5; y-intercept −3
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 − 3
- y = −3x + (y-intercept)
- −15 = −3 × 4 + (y-intercept)
- y-intercept = −15 − (−12) = −3
- y = −3x − 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.
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