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: −3
- gradient = rise ÷ run = (8 − (−4)) ÷ (−9 − (−5))
- = 12 ÷ −4 = −3
Answer: 3
- gradient = rise ÷ run = (−3 − (−6)) ÷ (−3 − (−4))
- = 3 ÷ 1 = 3
Answer: gradient −6; 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: gradient 5; 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 3; 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: −2
- gradient = rise ÷ run = (0 − 6) ÷ (−2 − (−5))
- = −6 ÷ 3 = −2
Answer: 2
- gradient = rise ÷ run = (−8 − (−2)) ÷ (−6 − (−3))
- = −6 ÷ −3 = 2
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: −1
- gradient = rise ÷ run = (−7 − (−4)) ÷ (3 − 0)
- = −3 ÷ 3 = −1
Answer: gradient 2; 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.
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