Comparing gradients

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

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.A line has the equation y = 2x + 1. What is the gradient of the line?

1/5

Q2.Which of the following lines has a gradient of 3?

2/5

Q3.Which of the following lines has the same gradient as the line y = 4 - 2x?

3/5

Q4.Which of the following coordinates lies on the line y = 3x + 1?

4/5

Q5.A line with a gradient of 3 passes through points (2,5) and (4,y). Work out the value of y.

5/5

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.A line has the equation y = 2x + 1. What is the gradient of the line?

1/5

Q2.Which of the following lines has a gradient of 3?

2/5

Q3.Which of the following lines has the same gradient as the line y = 4 - 2x?

3/5

Q4.Which of the following coordinates lies on the line y = 3x + 1?

4/5

Q5.A line with a gradient of 3 passes through points (2,5) and (4,y). Work out the value of y.

5/5

Video

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Worksheet

These slides will take you through some tasks for the lesson. If you need to re-play the video, click the ‘Resume Video’ icon. If you are asked to add answers to the slides, first download or print out the worksheet. Once you have finished all the tasks, click ‘Next’ below.

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Comparing gradients

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Q1.What is the gradient of the orange line?
Image for question 1

1/5

Q2.What is the gradient of the green line?
Image for question 2

2/5

Q3.What is the gradient of the purple line?
Image for question 3

3/5

Q4.Which of the following is parallel to y = 3x - 1?

4/5

Q5.What is the gradient of the line passing through the points (4,5) and (6,9)?

5/5

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Comparing gradients

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Q1.What is the gradient of the orange line?
Image for question 1

1/5

Q2.What is the gradient of the green line?
Image for question 2

2/5

Q3.What is the gradient of the purple line?
Image for question 3

3/5

Q4.Which of the following is parallel to y = 3x - 1?

4/5

Q5.What is the gradient of the line passing through the points (4,5) and (6,9)?

5/5

Lesson summary: Comparing gradients

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Linear graphs
is:
y = mx + c

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