Year 8 Gradient and Linear Equations Worksheet — Level 1 — 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 — Answers
Show your working. Gradient = rise ÷ run; the equation of a line can be written as y = (gradient)x + (y-intercept).
Answer: gradient −6; 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 1; 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 = (9 − (−3)) ÷ (2 − 6)
- = 12 ÷ −4 = −3
Answer: −3
- gradient = rise ÷ run = (−18 − (−3)) ÷ (7 − 2)
- = −15 ÷ 5 = −3
Answer: 1
- gradient = rise ÷ run = (−2 − (−3)) ÷ (6 − 5)
- = 1 ÷ 1 = 1
Answer: gradient −4; 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: gradient 5; y-intercept −3
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) ÷ (5 − 6)
- = 3 ÷ −1 = −3
Answer: 3
- gradient = rise ÷ run = (−5 − 1) ÷ (−3 − (−1))
- = −6 ÷ −2 = 3
Answer: 3
- gradient = rise ÷ run = (−9 − (−3)) ÷ (2 − 4)
- = −6 ÷ −2 = 3
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