Year 10 Gradient and Linear Equations Worksheet — Level 3 — Practice Set 2 — 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 3 — Practice Set 2 — 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 = 0: y = 5 × 0 + 7 = 7, which matches.
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.
- AYes
- BNo
Answer: Yes
Substitute x = 2: y = −3 × 2 − 4 = −10, which matches.
Answer: y = 3x − 6
- y = 3x + (y-intercept)
- −3 = 3 × 1 + (y-intercept)
- y-intercept = −3 − 3 = −6
- y = 3x − 6
- AYes
- BNo
Answer: Yes
Substitute x = −5: y = −3 × (−5) − 8 = 7, which matches.
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 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.
- AYes
- BNo
Answer: Yes
Substitute x = −4: y = −2 × (−4) + 0 = 8, which matches.
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.
- AYes
- BNo
Answer: No
Substitute x = 3: y = −3 × 3 + 3 = −6, not −5.
Marking tips
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