# Equations of lines

## Lesson details

### Key learning points

1. In this lesson, we will explore finding equations of lines and writing them in the form y = mx + c.

### 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.

## Video

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## Worksheet

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## Starter quiz

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### 5 Questions

Q1.
What is the gradient of the line y = 2x + 7?
3
5
7
Q2.
What is the coordinate of the y-intercept for the line y = 2x + 7?
(0,2)
(7,0)
(7,7)
Q3.
What is the gradient of the line y = 5 - 2x?
0
2
5
Q4.
A line has a gradient of 3 and goes through the point (0,7). What is the equation of the line?
y = 3x
Correct answer: y = 3x + 7
y = 7x
y = 7x + 3
Q5.
John says the line y = 2x + 3 goes through the point (2,3). Is he correct?
yes

## Exit quiz

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### 5 Questions

Q1.
A line has a gradient of 3 and a y-intercept of 4. What is the equation of the line?
y = 3x
Correct answer: y = 3x + 4
y = 4x + 3
Q2.
A line has a gradient of -2 and a y-intercept of 5. What is the equation of the line?
y = 2x + 5
Correct answer: y = 5 - 2x
y= 5x - 2
Q3.
A line has a gradient of 3 and goes through the point (0,2). What is the equation of the line?
y = 2x + 3
y = 3x
Correct answer: y = 3x + 2
Q4.
What is the gradient of the line going through the points (4,5) and (5,7)?
1
3
4
Q5.
What is the gradient of the line that goes through the point (3,4) and (4,1)?
-1