Year 10 Gradient and Linear Equations Worksheet — Level 2 — 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 2 — Answers
Show your working. Gradient = rise ÷ run; the equation of a line can be written as y = (gradient)x + (y-intercept).
Answer: gradient −2; 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.
Answer: gradient −2; 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: y = x + 3
- y = 1x + (y-intercept)
- 1 = 1 × (−2) + (y-intercept)
- y-intercept = 1 − (−2) = 3
- y = x + 3
Answer: gradient −2; 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: y = −x − 3
- y = −1x + (y-intercept)
- 0 = −1 × (−3) + (y-intercept)
- y-intercept = 0 − 3 = −3
- y = −x − 3
Answer: y = −2x − 4
- y = −2x + (y-intercept)
- 2 = −2 × (−3) + (y-intercept)
- y-intercept = 2 − 6 = −4
- y = −2x − 4
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 −2; y-intercept 0
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 = −x − 4
- y = −1x + (y-intercept)
- −3 = −1 × (−1) + (y-intercept)
- y-intercept = −3 − 1 = −4
- y = −x − 4
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
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