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Year 9 Gradient and Linear Equations Worksheet — Level 1 — Answers

Answer sheet with worked solutions for the Year 9 linear relationships & graphs worksheet.

Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Linear Relationships & Graphs

Year 9 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 = −4x − 2, write the gradient and the y-intercept.

Answer: gradient −4; y-intercept −2

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.Find the gradient of the line through (1, 6) and (−1, 8).

Answer: −1

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

Answer: gradient 1; 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.

4.For the line y = −6x + 4, write the gradient and the y-intercept.

Answer: gradient −6; 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.

5.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.

6.For the line y = −5x − 2, write the gradient and the y-intercept.

Answer: gradient −5; y-intercept −2

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 (5, 2) and (2, −1).

Answer: 1

  1. gradient = rise ÷ run = (−1 − 2) ÷ (2 − 5)
  2. = −3 ÷ −3 = 1
8.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.

9.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.

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

Answer: −2

  1. gradient = rise ÷ run = (6 − 0) ÷ (−3 − 0)
  2. = 6 ÷ −3 = −2
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