# Comparing gradients

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## Lesson details

### Key learning points

- In this lesson, we will be exploring the relationship between the gradients of perpendicular and parallel lines.

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This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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### 5 Questions

Q1.

A line has the equation y = 2x + 1. What is the gradient of the line?

1

3

Q2.

Which of the following lines has a gradient of 3?

y = 2 - 3x

y = x + 3

Q3.

Which of the following lines has the same gradient as the line y = 4 - 2x?

y = 2x - 4

y = 2x + 4

Q4.

Which of the following coordinates lies on the line y = 3x + 1?

(10,3)

(3,9)

Q5.

A line with a gradient of 3 passes through points (2,5) and (4,y). Work out the value of y.

10

8

9

### 5 Questions

Q1.

What is the gradient of the orange line?

1

1.5

2

Q2.

What is the gradient of the green line?

1

2

4

Q3.

What is the gradient of the purple line?

-2

1

2

Q4.

Which of the following is parallel to y = 3x - 1?

y = 2x + 1

y = 4x + 1

y = x + 3

Q5.

What is the gradient of the line passing through the points (4,5) and (6,9)?

1

3

4