Year 8 Gradient and Linear Equations Worksheet — Level 1 — Practice Set 4 — 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 4 — 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 = (9 − 3) ÷ (3 − 0)
- = 6 ÷ 3 = 2
Answer: gradient −6; 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.
Answer: −3
- gradient = rise ÷ run = (9 − 3) ÷ (−5 − (−3))
- = 6 ÷ −2 = −3
Answer: gradient −2; 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 −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: −1
- gradient = rise ÷ run = (−7 − (−3)) ÷ (−2 − (−6))
- = −4 ÷ 4 = −1
Answer: gradient 5; 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 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: 3
- gradient = rise ÷ run = (−15 − (−3)) ÷ (−1 − 3)
- = −12 ÷ −4 = 3
Answer: 1
- gradient = rise ÷ run = (0 − 4) ÷ (−10 − (−6))
- = −4 ÷ −4 = 1
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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