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 −8
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 = (1 − (−5)) ÷ (−8 − (−6))
- = 6 ÷ −2 = −3
Answer: −3
- gradient = rise ÷ run = (17 − 2) ÷ (−7 − (−2))
- = 15 ÷ −5 = −3
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: gradient 3; 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: −1
- gradient = rise ÷ run = (7 − 4) ÷ (−4 − (−1))
- = 3 ÷ −3 = −1
Answer: 3
- gradient = rise ÷ run = (2 − (−4)) ÷ (0 − (−2))
- = 6 ÷ 2 = 3
Answer: gradient 4; 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)) ÷ (5 − 3)
- = −4 ÷ 2 = −2
Answer: gradient 4; y-intercept −5
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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