Year 10 Gradient and Linear Equations Worksheet — Level 2 — Practice Set 3 — 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 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 2; 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 − 1
- y = −4x + (y-intercept)
- 11 = −4 × (−3) + (y-intercept)
- y-intercept = 11 − 12 = −1
- y = −4x − 1
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: y = 2x + 6
- y = 2x + (y-intercept)
- 6 = 2 × 0 + (y-intercept)
- y-intercept = 6 − 0 = 6
- y = 2x + 6
Answer: gradient 5; 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 = rise ÷ run = (−3 − 4) ÷ (−4 − 0)
- = −7 ÷ −4 =
Answer: 1
- gradient = rise ÷ run = (1 − 6) ÷ (−4 − 1)
- = −5 ÷ −5 = 1
Answer:
- gradient = rise ÷ run = (6 − 5) ÷ (2 − (−3))
- = 1 ÷ 5 =
Answer: 3
- gradient = rise ÷ run = (8 − (−1)) ÷ (−2 − (−5))
- = 9 ÷ 3 = 3
Answer: y = 2x + 9
- y = 2x + (y-intercept)
- 13 = 2 × 2 + (y-intercept)
- y-intercept = 13 − 4 = 9
- y = 2x + 9
Marking tips
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