Year 10 Gradient and Linear Equations Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 10 linear relationships & graphs worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Linear Relationships & GraphsYear 10 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 = (16 − 1) ÷ (7 − 2)
- = 15 ÷ 5 = 3
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: 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 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: −3
- gradient = rise ÷ run = (21 − 6) ÷ (−11 − (−6))
- = 15 ÷ −5 = −3
Answer: 2
- gradient = rise ÷ run = (−12 − (−2)) ÷ (−11 − (−6))
- = −10 ÷ −5 = 2
Answer: −3
- gradient = rise ÷ run = (10 − 4) ÷ (1 − 3)
- = 6 ÷ −2 = −3
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: −2
- gradient = rise ÷ run = (8 − 0) ÷ (−8 − (−4))
- = 8 ÷ −4 = −2
Answer: 3
- gradient = rise ÷ run = (−3 − 0) ÷ (3 − 4)
- = −3 ÷ −1 = 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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