# Equivalent lines

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## Lesson details

### Key learning points

- In this lesson, we will investigate the equations of equivalent lines, using some algebraic manipulation to check equality.

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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.

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

### 5 Questions

Q1.

Which of the following lines is equivalent to y = 2x + 1

2y = 4x + 2

y = 4x + 2

Q2.

Which of the following lines is equivalent to 2y + 4x = 2?

2y + 2x = 1

3x + 2y = 1

Q3.

Which of the lines is not equivalent to y = 2x + 1?

2y = 4x + 2

3y = 6x + 3

Q4.

Which of the following lines is not equivalent to 12y = 6x + 6

4y = 2x + 2

6y = 3x + 3

Q5.

Which of these is a coordinate on the line 2x + y = 5

(3,4)

(5,6)