Year 10 Gradient and Linear Equations Worksheet — Level 2 — 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 — Answers
Show your working. Gradient = rise ÷ run; the equation of a line can be written as y = (gradient)x + (y-intercept).
Answer: gradient 4; 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 −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 = rise ÷ run = (−5 − (−1)) ÷ (−2 − 1)
- = −4 ÷ −3 =
Answer: gradient 3; 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: −
- gradient = rise ÷ run = (14 − 6) ÷ (2 − 5)
- = 8 ÷ −3 = −
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: y = 4x + 6
- y = 4x + (y-intercept)
- 18 = 4 × 3 + (y-intercept)
- y-intercept = 18 − 12 = 6
- y = 4x + 6
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: gradient −6; 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 = 4x − 1
- y = 4x + (y-intercept)
- 3 = 4 × 1 + (y-intercept)
- y-intercept = 3 − 4 = −1
- y = 4x − 1
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