Year 11 Gradient and Linear Equations Worksheet — Level 3 — 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 3 — Answers
Show your working. Gradient = rise ÷ run; the equation of a line can be written as y = (gradient)x + (y-intercept).
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 −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: y = 3x + 4
- y = 3x + (y-intercept)
- 4 = 3 × 0 + (y-intercept)
- y-intercept = 4 − 0 = 4
- y = 3x + 4
Answer: gradient 3; 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 − 3
- y = −3x + (y-intercept)
- −15 = −3 × 4 + (y-intercept)
- y-intercept = −15 − (−12) = −3
- y = −3x − 3
Answer: y = x + 4
- y = 1x + (y-intercept)
- 2 = 1 × (−2) + (y-intercept)
- y-intercept = 2 − (−2) = 4
- y = x + 4
- AYes
- BNo
Answer: No
Substitute x = −1: y = −1 × (−1) − 7 = −6, not −8.
Answer: y = 3x − 4
- y = 3x + (y-intercept)
- 8 = 3 × 4 + (y-intercept)
- y-intercept = 8 − 12 = −4
- y = 3x − 4
Answer: y = −3x + 8
- y = −3x + (y-intercept)
- −4 = −3 × 4 + (y-intercept)
- y-intercept = −4 − (−12) = 8
- y = −3x + 8
- AYes
- BNo
Answer: No
Substitute x = 0: y = 3 × 0 + 7 = 7, not 10.
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