Higher
Find the equation of a straight line through two given points
Higher
Find the equation of a straight line through two given points
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Lesson details
Key learning points
- In this lesson, we will investigate how to calculate the equation of a line, given two pairs of coordinates that the line passes through.
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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4 Questions
Q1.
1. Which of these lines is parallel to y = −2𝑥 + 5?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707205978%2Fukczvzno2sg3tbbwuu5z.png&w=1920&q=75)
A
B
D
Q2.
2. Which of these lines is parallel to y = −2𝑥 + 5 and passes through (3, 2)?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707205985%2Fobys8p163suvskwnudty.png&w=1920&q=75)
A
C
D
Q3.
3. Which of these lines is parallel to 4y = 6𝑥 + 9?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707205987%2Fqoowpoi5rud4scrm1ruv.png&w=1920&q=75)
A
B
D
Q4.
4. Which of these lines is parallel to 4y = 6𝑥 + 9 and passes through (8, 5)?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707205996%2Fmt5yxbp7kd6rnwzmawmq.png&w=1920&q=75)
B
C
D
4 Questions
Q1.
What is the equation of the line passing through A and B?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707206903%2Fennwilhni23fjd12kj5c.png&w=640&q=75)
A
B
C
Q2.
What is the equation of the line passing through (2, 5) and (4, 11)?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707206905%2Ff8ptomq2n3lxzbzaakyu.png&w=1920&q=75)
A
B
D
Q3.
What is the equation of the line passing through (4, -5) and (2, 1)?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707206910%2Fpl0hl4ggtxqvbjsxupv3.png&w=1920&q=75)
B
C
D
Q4.
Which of these coordinates is on the line which passes through (3, -7) and (-1, 1)?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707206921%2Fozsamhbfklvgnjlqfwvi.png&w=1920&q=75)
A
C
D