Year 9 Gradient and Linear Equations Worksheet — Level 1 — Practice Set 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 1 — Practice Set 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 = (3 − (−3)) ÷ (−2 − (−5))
- = 6 ÷ 3 = 2
Answer: gradient 4; y-intercept −7
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 = (−19 − (−4)) ÷ (−10 − (−5))
- = −15 ÷ −5 = 3
Answer: 1
- gradient = rise ÷ run = (10 − 5) ÷ (0 − (−5))
- = 5 ÷ 5 = 1
Answer: −1
- gradient = rise ÷ run = (−1 − (−3)) ÷ (2 − 4)
- = 2 ÷ −2 = −1
Answer: −2
- gradient = rise ÷ run = (1 − 5) ÷ (−4 − (−6))
- = −4 ÷ 2 = −2
Answer: −2
- gradient = rise ÷ run = (−7 − (−5)) ÷ (5 − 4)
- = −2 ÷ 1 = −2
Answer: −1
- gradient = rise ÷ run = (−7 − (−4)) ÷ (−1 − (−4))
- = −3 ÷ 3 = −1
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: gradient −4; 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.
Marking tips
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