Year 8 Gradient and Linear Equations Worksheet — Level 2 — Practice Set 3 — 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 2 — 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 6; 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 = rise ÷ run = (−2 − (−1)) ÷ (9 − 5)
- = −1 ÷ 4 = −
Answer: −5
- gradient = rise ÷ run = (6 − 1) ÷ (−2 − (−1))
- = 5 ÷ −1 = −5
Answer: −1
- gradient = rise ÷ run = (1 − 3) ÷ (6 − 4)
- = −2 ÷ 2 = −1
Answer: −
- gradient = rise ÷ run = (−9 − (−3)) ÷ (0 − (−4))
- = −6 ÷ 4 = −
Answer: gradient −2; 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 3; 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: y = 4x − 7
- y = 4x + (y-intercept)
- −15 = 4 × (−2) + (y-intercept)
- y-intercept = −15 − (−8) = −7
- y = 4x − 7
Answer: gradient −3; 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: y = 2x − 8
- y = 2x + (y-intercept)
- −10 = 2 × (−1) + (y-intercept)
- y-intercept = −10 − (−2) = −8
- y = 2x − 8
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