Year 11 Gradient and Linear Equations Worksheet — Level 2 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 11 linear relationships & graphs worksheet.
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Linear Relationships & GraphsYear 11 Gradient and Linear Equations Worksheet — Level 2 — Practice Set 2 — Answers
Show your working. Gradient = rise ÷ run; the equation of a line can be written as y = (gradient)x + (y-intercept).
Answer: gradient −6; 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 −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.
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: y = 3x − 5
- y = 3x + (y-intercept)
- −5 = 3 × 0 + (y-intercept)
- y-intercept = −5 − 0 = −5
- y = 3x − 5
Answer: 1
- gradient = rise ÷ run = (1 − (−2)) ÷ (0 − (−3))
- = 3 ÷ 3 = 1
Answer: y = 3x − 1
- y = 3x + (y-intercept)
- 11 = 3 × 4 + (y-intercept)
- y-intercept = 11 − 12 = −1
- y = 3x − 1
Answer: gradient −1; 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 = rise ÷ run = (−2 − (−4)) ÷ (−7 − (−4))
- = 2 ÷ −3 = −
Answer: gradient 4; 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 −6
In y = (gradient)x + (y-intercept), the number multiplying x is the gradient and the constant is where the line crosses the y-axis.
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.