Year 8 Gradient and Linear Equations Worksheet — Level 2 — 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 2 — 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:
- gradient = rise ÷ run = (1 − (−6)) ÷ (9 − 5)
- = 7 ÷ 4 =
Answer: y = −3x + 7
- y = −3x + (y-intercept)
- 19 = −3 × (−4) + (y-intercept)
- y-intercept = 19 − 12 = 7
- y = −3x + 7
Answer: gradient 2; 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: 3
- gradient = rise ÷ run = (−9 − 0) ÷ (−9 − (−6))
- = −9 ÷ −3 = 3
Answer: gradient −3; 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 − 3) ÷ (−9 − (−5))
- = −1 ÷ −4 =
Answer: −
- gradient = rise ÷ run = (−5 − (−3)) ÷ (6 − 3)
- = −2 ÷ 3 = −
Answer:
- gradient = rise ÷ run = (−3 − 0) ÷ (0 − 2)
- = −3 ÷ −2 =
Answer: gradient 6; 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: 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.
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
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