Year 9 Gradient and Linear Equations Worksheet — Level 1 — 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 1 — 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: gradient 2; 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: 3
- gradient = rise ÷ run = (−4 − (−1)) ÷ (−1 − 0)
- = −3 ÷ −1 = 3
Answer: 3
- gradient = rise ÷ run = (−21 − (−6)) ÷ (−9 − (−4))
- = −15 ÷ −5 = 3
Answer: 1
- gradient = rise ÷ run = (−2 − 0) ÷ (−8 − (−6))
- = −2 ÷ −2 = 1
Answer: −2
- gradient = rise ÷ run = (−1 − 5) ÷ (1 − (−2))
- = −6 ÷ 3 = −2
Answer: gradient 1; 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 −1; 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 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.
Answer: 2
- gradient = rise ÷ run = (5 − 1) ÷ (7 − 5)
- = 4 ÷ 2 = 2
Answer: 2
- gradient = rise ÷ run = (−5 − (−3)) ÷ (5 − 6)
- = −2 ÷ −1 = 2
Marking tips
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