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Year 10 Gradient and Linear Equations Worksheet — Level 1 — Answers

Answer sheet with worked solutions for the Year 10 linear relationships & graphs worksheet.

Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Linear Relationships & Graphs

Year 10 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 = −2x − 6, write the gradient and the y-intercept.

Answer: gradient −2; 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.Find the gradient of the line through (−4, −5) and (−5, −6).

Answer: 1

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

Answer: gradient −4; 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.

4.For the line y = 6x − 3, write the gradient and the y-intercept.

Answer: gradient 6; 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.

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 = −2x − 8, write the gradient and the y-intercept.

Answer: gradient −2; 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.

7.For the line y = 2x − 7, write the gradient and the y-intercept.

Answer: gradient 2; 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.

8.For the line y = −x + 5, write the gradient and the y-intercept.

Answer: gradient −1; 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.

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

Answer: gradient 2; 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.

10.Find the gradient of the line through (−2, 0) and (0, 4).

Answer: 2

  1. gradient = rise ÷ run = (4 − 0) ÷ (0 − (−2))
  2. = 4 ÷ 2 = 2
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