Year 8

# Gradient (Part 2)

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## Lesson details

### Key learning points

- In this lesson, we will be looking at how the gradient of a line is determined using the equation of the line.

### Licence

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.

The gradient describes the ___________________.

coefficient of x

name of the line

Q2.

In my line every time the x-ordinate goes up by 1 the y-ordinate goes up by 4. The gradient of my line is _____.

1

3

5

Q3.

In my line y = 3x + 1. What is the gradient of my line?

1

2

4

Q4.

Which of the following lines has the same gradient as the line y = 1 + 2x

y = 1 + 3x

y = 2 + x

Q5.

A line with a gradient of 2 goes through the points (3,y) and (4,9). What is the value of y?

5

6

8

### 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