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 = rise ÷ run = (6 − 0) ÷ (−8 − (−4))
- = 6 ÷ −4 = −
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: y = −2x + 1
- y = −2x + (y-intercept)
- −1 = −2 × 1 + (y-intercept)
- y-intercept = −1 − (−2) = 1
- y = −2x + 1
Answer: y = 5x + 2
- y = 5x + (y-intercept)
- −8 = 5 × (−2) + (y-intercept)
- y-intercept = −8 − (−10) = 2
- y = 5x + 2
Answer: y = −3x − 6
- y = −3x + (y-intercept)
- 6 = −3 × (−4) + (y-intercept)
- y-intercept = 6 − 12 = −6
- y = −3x − 6
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 −5; 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: y = −2x + 6
- y = −2x + (y-intercept)
- 10 = −2 × (−2) + (y-intercept)
- y-intercept = 10 − 4 = 6
- y = −2x + 6
Answer: −3
- gradient = rise ÷ run = (12 − 3) ÷ (−6 − (−3))
- = 9 ÷ −3 = −3
Answer: −
- gradient = rise ÷ run = (−1 − (−3)) ÷ (−9 − (−4))
- = 2 ÷ −5 = −
Marking tips
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