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: −2
- gradient = rise ÷ run = (−1 − 3) ÷ (8 − 6)
- = −4 ÷ 2 = −2
Answer: gradient 6; 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 = 3x + 4
- y = 3x + (y-intercept)
- −2 = 3 × (−2) + (y-intercept)
- y-intercept = −2 − (−6) = 4
- y = 3x + 4
Answer: y = −4x + 9
- y = −4x + (y-intercept)
- 25 = −4 × (−4) + (y-intercept)
- y-intercept = 25 − 16 = 9
- y = −4x + 9
Answer: gradient −6; 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 = rise ÷ run = (11 − 4) ÷ (8 − 4)
- = 7 ÷ 4 =
Answer: −2
- gradient = rise ÷ run = (8 − 2) ÷ (−7 − (−4))
- = 6 ÷ −3 = −2
Answer: −1
- gradient = rise ÷ run = (10 − 6) ÷ (−4 − 0)
- = 4 ÷ −4 = −1
Answer: gradient −1; 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:
- gradient = rise ÷ run = (3 − (−1)) ÷ (3 − (−2))
- = 4 ÷ 5 =
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