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.
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.
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?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707172491%2Fcm2ho8if4errq8oyoyxf.png&w=640&q=75)
1
1.5
2
Q2.
What is the gradient of the green line?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707172498%2Flklyk3jvn6qgfnb4osov.png&w=640&q=75)
1
2
4
Q3.
What is the gradient of the purple line?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707172515%2Fjav32cyj87n9kv3ayuxr.png&w=640&q=75)
-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