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Year 11 Gradient and Linear Equations Worksheet — Level 1 — Answers

Answer sheet with worked solutions for the Year 11 linear relationships & graphs worksheet.

Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Linear Relationships & Graphs

Year 11 Gradient and Linear Equations Worksheet — Level 1 — Answers

Show your working. Gradient = rise ÷ run; the equation of a line can be written as y = (gradient)x + (y-intercept).

1.For the line y = −5x − 6, write the gradient and the y-intercept.

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.

2.For the line y = −x + 3, write the gradient and the y-intercept.

Answer: gradient −1; y-intercept 3

In y = (gradient)x + (y-intercept), the number multiplying x is the gradient and the constant is where the line crosses the y-axis.

3.For the line y = 2x + 9, write the gradient and the y-intercept.

Answer: gradient 2; 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.

4.Find the gradient of the line through (1, 1) and (−1, −1).

Answer: 1

  1. gradient = rise ÷ run = (−1 − 1) ÷ (−1 − 1)
  2. = −2 ÷ −2 = 1
5.Find the gradient of the line through (6, 0) and (8, 2).

Answer: 1

  1. gradient = rise ÷ run = (2 − 0) ÷ (8 − 6)
  2. = 2 ÷ 2 = 1
6.For the line y = −4x − 9, write the gradient and the y-intercept.

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.

7.For the line y = −3x + 8, write the gradient and the y-intercept.

Answer: gradient −3; 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.

8.For the line y = −x − 3, write the gradient and the y-intercept.

Answer: gradient −1; y-intercept −3

In y = (gradient)x + (y-intercept), the number multiplying x is the gradient and the constant is where the line crosses the y-axis.

9.For the line y = x + 7, write the gradient and the y-intercept.

Answer: gradient 1; 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.

10.Find the gradient of the line through (−2, 6) and (2, 18).

Answer: 3

  1. gradient = rise ÷ run = (18 − 6) ÷ (2 − (−2))
  2. = 12 ÷ 4 = 3
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