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: No
Substitute x = −5: y = −2 × (−5) + 3 = 13, not 14.
Answer: y = −4x − 5
- y = −4x + (y-intercept)
- 7 = −4 × (−3) + (y-intercept)
- y-intercept = 7 − 12 = −5
- y = −4x − 5
Answer: gradient 6; 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 = −3 × 4 + 1 = −11, which matches.
Answer: gradient −4; 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.
Answer: gradient 4; 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 6; 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 = 3x − 4
- y = 3x + (y-intercept)
- −13 = 3 × (−3) + (y-intercept)
- y-intercept = −13 − (−9) = −4
- y = 3x − 4
- AYes
- BNo
Answer: No
Substitute x = 3: y = 2 × 3 + 4 = 10, not 9.
- AYes
- BNo
Answer: No
Substitute x = 1: y = −2 × 1 − 5 = −7, not −4.
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