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