Year 9 Gradient and Linear Equations Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the Year 9 linear relationships & graphs worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Linear Relationships & GraphsYear 9 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 −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.
Answer: 1
- gradient = rise ÷ run = (5 − 4) ÷ (7 − 6)
- = 1 ÷ 1 = 1
Answer: 3
- gradient = rise ÷ run = (9 − 0) ÷ (−2 − (−5))
- = 9 ÷ 3 = 3
Answer: y = 3x − 1
- y = 3x + (y-intercept)
- 8 = 3 × 3 + (y-intercept)
- y-intercept = 8 − 9 = −1
- y = 3x − 1
Answer: −
- gradient = rise ÷ run = (6 − 1) ÷ (2 − 6)
- = 5 ÷ −4 = −
Answer: −
- gradient = rise ÷ run = (0 − (−5)) ÷ (−4 − (−1))
- = 5 ÷ −3 = −
Answer: gradient 3; 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: 3
- gradient = rise ÷ run = (−7 − (−1)) ÷ (4 − 6)
- = −6 ÷ −2 = 3
Answer: gradient 5; 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 6; 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.
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