Year 11 Gradient and Linear Equations Worksheet — Level 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 — Answers
Show your working. Gradient = rise ÷ run; the equation of a line can be written as y = (gradient)x + (y-intercept).
Answer: y = x + 7
- y = 1x + (y-intercept)
- 5 = 1 × (−2) + (y-intercept)
- y-intercept = 5 − (−2) = 7
- y = x + 7
Answer: −
- gradient = rise ÷ run = (6 − (−1)) ÷ (3 − 6)
- = 7 ÷ −3 = −
Answer: gradient 4; 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 = 2x
- y = 2x + (y-intercept)
- 0 = 2 × 0 + (y-intercept)
- y-intercept = 0 − 0 = 0
- y = 2x
Answer: −7
- gradient = rise ÷ run = (−2 − 5) ÷ (0 − (−1))
- = −7 ÷ 1 = −7
Answer:
- gradient = rise ÷ run = (−1 − 4) ÷ (1 − 4)
- = −5 ÷ −3 =
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: −
- gradient = rise ÷ run = (−1 − (−2)) ÷ (−4 − 1)
- = 1 ÷ −5 = −
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 −3; y-intercept 3
In y = (gradient)x + (y-intercept), the number multiplying x is the gradient and the constant is where the line crosses the y-axis.
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