Year 9 Gradient and Linear Equations Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 9 linear relationships & graphs worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Linear Relationships & GraphsYear 9 Gradient and Linear Equations Worksheet — Level 1 — 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: 2
- gradient = rise ÷ run = (−3 − (−5)) ÷ (0 − (−1))
- = 2 ÷ 1 = 2
Answer: gradient −5; 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: −2
- gradient = rise ÷ run = (9 − 1) ÷ (−3 − 1)
- = 8 ÷ −4 = −2
Answer: 2
- gradient = rise ÷ run = (−9 − 1) ÷ (−2 − 3)
- = −10 ÷ −5 = 2
Answer: gradient 4; 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: 3
- gradient = rise ÷ run = (10 − 4) ÷ (3 − 1)
- = 6 ÷ 2 = 3
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: 3
- gradient = rise ÷ run = (3 − 6) ÷ (5 − 6)
- = −3 ÷ −1 = 3
Answer: −3
- gradient = rise ÷ run = (10 − (−5)) ÷ (−5 − 0)
- = 15 ÷ −5 = −3
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.
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