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Equations of lines

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by

Mr Mattock

on 18 September 2016

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Transcript of Equations of lines

Equations of lines
Starter
3x + 2y = 12
Activity
Gradient and intercept
3x + 2y = 12
L.O. - Use equations of lines in unfamiliar formats and find gradient and intercept.
How do we know that this is a straight line?

Work out y when x = 0

Work out y when x = 1
Starter
3x + 2y = 12
How do we know that this is a straight line?
No powers involved with x or y.
Work out y when x = 0.
2y = 12 y = 6.
Work out y when x = 1
2y = 9 y = 4.5
What is the gradient of the line?


What is the y-intercept of the line?
Gradient and intercept
3x + 2y = 12
What is the gradient of the line?


What is the y-intercept of the line?
x = 0
y = 6

x = 1
y = 4

6 - 4 = -1
-1
1
2
6
Gradient and intercept
5y - 4x = 20
What is the gradient of the line?


What is the y-intercept of the line?
Gradient and intercept
5y - 4x = 20
What is the gradient of the line?


What is the y-intercept of the line?
4
5
4
5
4
Evaluate these equations at x = 0 and x = 1 and hence find the gradient and y intercept of the line.

a) 2x - y = 6 f) 4x + 2y = 9
b) 3x - y = 4 g) 3x + 2y = 8
c) 4x - 2y = 10 h) 7x - 3y = 9
d) 6x - 2y = 2 i) 3x - 5y = 7
e) 5x - 2y = 6 h) 4x + 7y = 9
1
2
1
2
1
2
x = 0
y = 4

x = 1
y = 3

4 - 3 =
1
5
1
5
Activity
Evaluate these equations at x = 0 and x = 1 and hence find the gradient and y intercept of the line.


a) 2x - y = 6 f) 4x + 2y = 9
b) 3x - y = 4 g) 3x + 2y = 8
c) 4x - 2y = 10 h) 7x - 3y = 9
d) 6x - 2y = 2 i) 3x - 5y = 7
e) 5x - 2y = 6 h) 4x + 7y = 9
gradient
y-intercept
gradient
y-intercept
2

-6
3

-4
2

-5
3

-1
2

-3
1
2
-2

4
-1

4
2

-3


-1

-1
1
2
2
3
3
5
4
7
1
2
2
5
2
7
Activities
Activity
Answers

Key
Examples

Worked
Example

Worked
Example
Full transcript