# Equivalent lines

## Lesson details

### Key learning points

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

### Licence

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## Video

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## Worksheet

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## Starter 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
1
2

## Exit quiz

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### 5 Questions

Q1.
Which of the following lines is equivalent to y = 2x + 1
Correct answer: 2y = 4x + 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
Correct answer: y + 2x = 1
Q3.
Which of the lines is not equivalent to y = 2x + 1?
Correct answer: 2y = 3x + 2
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
Correct answer: y = x + 1
Q5.
Which of these is a coordinate on the line 2x + y = 5