Year 9 Gradient and Linear Equations Worksheet — Level 1 — 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 1 — 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: gradient 4; 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: −1
- gradient = rise ÷ run = (7 − 4) ÷ (−2 − 1)
- = 3 ÷ −3 = −1
Answer: −1
- gradient = rise ÷ run = (−8 − (−3)) ÷ (3 − (−2))
- = −5 ÷ 5 = −1
Answer: −2
- gradient = rise ÷ run = (12 − 2) ÷ (1 − 6)
- = 10 ÷ −5 = −2
Answer: gradient −5; y-intercept 0
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 = (−9 − 6) ÷ (−11 − (−6))
- = −15 ÷ −5 = 3
Answer: gradient 2; y-intercept 0
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 = (11 − 5) ÷ (−7 − (−4))
- = 6 ÷ −3 = −2
Answer: gradient −5; 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: −1
- gradient = rise ÷ run = (1 − 5) ÷ (10 − 6)
- = −4 ÷ 4 = −1
Marking tips
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