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Year 11 Gradient and Linear Equations Worksheet — Level 1 — Practice Set 4 — 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 — Practice Set 4 — Answers

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

1.Find the gradient of the line through (6, −5) and (3, 4).

Answer: −3

  1. gradient = rise ÷ run = (4 − (−5)) ÷ (3 − 6)
  2. = 9 ÷ −3 = −3
2.For the line y = 6x − 8, write the gradient and the y-intercept.

Answer: gradient 6; 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.

3.For the line y = 5x − 7, write the gradient and the y-intercept.

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.

4.For the line y = 3x − 5, write the gradient and the y-intercept.

Answer: gradient 3; 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.

5.Find the gradient of the line through (−2, 3) and (0, 9).

Answer: 3

  1. gradient = rise ÷ run = (9 − 3) ÷ (0 − (−2))
  2. = 6 ÷ 2 = 3
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.Find the gradient of the line through (3, −3) and (5, 1).

Answer: 2

  1. gradient = rise ÷ run = (1 − (−3)) ÷ (5 − 3)
  2. = 4 ÷ 2 = 2
8.For the line y = 3x + 9, write the gradient and the y-intercept.

Answer: gradient 3; 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.

9.Find the gradient of the line through (3, 6) and (0, 0).

Answer: 2

  1. gradient = rise ÷ run = (0 − 6) ÷ (0 − 3)
  2. = −6 ÷ −3 = 2
10.For the line y = −5x − 4, write the gradient and the y-intercept.

Answer: gradient −5; 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.

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