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Year 9 Gradient and Linear Equations Worksheet — Level 1 — Practice Set 4 — 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 — 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 (2, −3) and (3, −6).

Answer: −3

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

Answer: 1

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

Answer: 1

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

Answer: gradient −1; y-intercept 0

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 (−4, 6) and (−8, 2).

Answer: 1

  1. gradient = rise ÷ run = (2 − 6) ÷ (−8 − (−4))
  2. = −4 ÷ −4 = 1
6.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.

7.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.

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

Answer: gradient −6; 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.

9.Find the gradient of the line through (−5, 2) and (−4, 4).

Answer: 2

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

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.

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