Year 10 Gradient and Linear Equations Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 10 linear relationships & graphs worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Linear Relationships & GraphsYear 10 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: −3
- gradient = rise ÷ run = (18 − 6) ÷ (−3 − 1)
- = 12 ÷ −4 = −3
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: gradient −5; 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: gradient 4; 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 5; 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: 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: 2
- gradient = rise ÷ run = (−9 − (−5)) ÷ (−4 − (−2))
- = −4 ÷ −2 = 2
Answer: 3
- gradient = rise ÷ run = (1 − 4) ÷ (0 − 1)
- = −3 ÷ −1 = 3
Answer: −3
- gradient = rise ÷ run = (19 − 4) ÷ (−9 − (−4))
- = 15 ÷ −5 = −3
Answer: 2
- gradient = rise ÷ run = (8 − 2) ÷ (2 − (−1))
- = 6 ÷ 3 = 2
Marking tips
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