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Year 10 Gradient and Linear Equations Worksheet — Level 1 — Practice Set 2 — 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 — Practice Set 2 — 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 − 8, write the gradient and the y-intercept.

Answer: gradient −4; 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.

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

Answer: gradient 6; 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.

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

Answer: gradient −1; 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.For the line y = 5x + 1, write the gradient and the y-intercept.

Answer: gradient 5; 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.

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

Answer: gradient −6; 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.

6.Find the gradient of the line through (−1, −4) and (−2, −1).

Answer: −3

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

Answer: gradient −3; 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.

8.Find the gradient of the line through (−5, −4) and (−1, −12).

Answer: −2

  1. gradient = rise ÷ run = (−12 − (−4)) ÷ (−1 − (−5))
  2. = −8 ÷ 4 = −2
9.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.

10.Find the gradient of the line through (−3, −3) and (−2, −6).

Answer: −3

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