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