Year 9 Gradient and Linear Equations Worksheet — Level 2 — Practice Set 4 — 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 — Practice Set 4 — Answers
Show your working. Gradient = rise ÷ run; the equation of a line can be written as y = (gradient)x + (y-intercept).
Answer: y = −3x + 8
- y = −3x + (y-intercept)
- 8 = −3 × 0 + (y-intercept)
- y-intercept = 8 − 0 = 8
- y = −3x + 8
Answer: −
- gradient = rise ÷ run = (6 − (−2)) ÷ (−11 − (−6))
- = 8 ÷ −5 = −
Answer: y = 4x − 4
- y = 4x + (y-intercept)
- 8 = 4 × 3 + (y-intercept)
- y-intercept = 8 − 12 = −4
- y = 4x − 4
Answer: −2
- gradient = rise ÷ run = (3 − 1) ÷ (5 − 6)
- = 2 ÷ −1 = −2
Answer: gradient −5; 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: 4
- gradient = rise ÷ run = (6 − 2) ÷ (6 − 5)
- = 4 ÷ 1 = 4
Answer:
- gradient = rise ÷ run = (11 − 4) ÷ (4 − 0)
- = 7 ÷ 4 =
Answer: gradient −3; y-intercept 5
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 = −5x − 1
- y = −5x + (y-intercept)
- 14 = −5 × (−3) + (y-intercept)
- y-intercept = 14 − 15 = −1
- y = −5x − 1
Answer: gradient 5; 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.
Marking tips
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