Year 10 Gradient and Linear Equations Worksheet — Level 1 — 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 — Answers
Show your working. Gradient = rise ÷ run; the equation of a line can be written as y = (gradient)x + (y-intercept).
Answer: gradient −3; y-intercept 9
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 = (5 − 6) ÷ (4 − 3)
- = −1 ÷ 1 = −1
Answer: gradient 5; 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 = (11 − 2) ÷ (6 − 3)
- = 9 ÷ 3 = 3
Answer: gradient 6; 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: −1
- gradient = rise ÷ run = (1 − 4) ÷ (2 − (−1))
- = −3 ÷ 3 = −1
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: 2
- gradient = rise ÷ run = (−3 − 5) ÷ (−10 − (−6))
- = −8 ÷ −4 = 2
Answer: gradient −5; 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 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.
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