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.
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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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)