Year 8 Gradient and Linear Equations Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 8 linear relationships & graphs worksheet.
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Linear Relationships & GraphsYear 8 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 = (2 − 4) ÷ (−1 − 0)
- = −2 ÷ −1 = 2
Answer: gradient 6; 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: −1
- gradient = rise ÷ run = (−2 − (−6)) ÷ (−2 − 2)
- = 4 ÷ −4 = −1
Answer: −1
- gradient = rise ÷ run = (1 − 3) ÷ (7 − 5)
- = −2 ÷ 2 = −1
Answer: −2
- gradient = rise ÷ run = (1 − (−1)) ÷ (2 − 3)
- = 2 ÷ −1 = −2
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: 3
- gradient = rise ÷ run = (−6 − (−3)) ÷ (0 − 1)
- = −3 ÷ −1 = 3
Answer: −3
- gradient = rise ÷ run = (−8 − (−5)) ÷ (3 − 2)
- = −3 ÷ 1 = −3
Answer: −2
- gradient = rise ÷ run = (0 − 6) ÷ (9 − 6)
- = −6 ÷ 3 = −2
Answer: gradient 6; 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.
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