# Equations of lines

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## Lesson details

### Key learning points

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

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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.

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

y = 7x

y = 7x + 3

Q5.

John says the line y = 2x + 3 goes through the point (2,3). Is he correct?

yes

### 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

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

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

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

1

2