Year 9 Gradient and Linear Equations Worksheet — Level 3 — 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 — Answers
Show your working. Gradient = rise ÷ run; the equation of a line can be written as y = (gradient)x + (y-intercept).
- AYes
- BNo
Answer: Yes
Substitute x = −4: y = −2 × (−4) + 2 = 10, which matches.
- AYes
- BNo
Answer: Yes
Substitute x = −4: y = 5 × (−4) − 1 = −21, which matches.
Answer: gradient 4; 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: y = −2x − 4
- y = −2x + (y-intercept)
- −10 = −2 × 3 + (y-intercept)
- y-intercept = −10 − (−6) = −4
- y = −2x − 4
Answer: gradient −3; 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 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.
Answer: gradient −5; y-intercept −6
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 = 4: y = 5 × 4 + 9 = 29, which matches.
- AYes
- BNo
Answer: Yes
Substitute x = 5: y = 5 × 5 + 1 = 26, which matches.
- AYes
- BNo
Answer: Yes
Substitute x = −5: y = 3 × (−5) − 8 = −23, which matches.
Marking tips
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