Year 9 Gradient and Linear Equations Worksheet — Level 3 — 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 3 — 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 −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.
- AYes
- BNo
Answer: Yes
Substitute x = 2: y = −5 × 2 − 1 = −11, which matches.
Answer: gradient −5; 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 = 5x − 7
- y = 5x + (y-intercept)
- 8 = 5 × 3 + (y-intercept)
- y-intercept = 8 − 15 = −7
- y = 5x − 7
- AYes
- BNo
Answer: No
Substitute x = 2: y = −1 × 2 − 8 = −10, not −8.
Answer: gradient 5; 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: gradient 1; 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: y = −x − 7
- y = −1x + (y-intercept)
- −3 = −1 × (−4) + (y-intercept)
- y-intercept = −3 − 4 = −7
- y = −x − 7
- AYes
- BNo
Answer: No
Substitute x = 4: y = −5 × 4 + 7 = −13, not −16.
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.
Marking tips
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