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Linear FunctionsLearning Objective:

- to be able to plot a linear function

Key words: plot, linear function, axes, co-ordinate

Challenge: can you fill in this substitution grid?

x = 0 x = 1 x = 2

x + 3

2x

2x + 3

Tracking BGrade C

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What is a linear function?

A linear function is one in which thehighest power is 1.

Eg. y = x + 4

y = 2x

y = 2x + 3y + x = 45

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y = x + 3

y 0 1 2

x

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0 1 2 3 4 5 6 7 8 9 10-9 -8 -7 -6 -5 -4 -3 -2 -1-10 x

y

1

2

3

4

5

6

7

8

9

10

-1-2

-3

-4

-5

-6

-7

-8

-9

-10

y 0 1 2

x 3 4 5

y = x + 3

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Try it for yourself...

y = 2x + 1

y 0 1 2

x

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0 1 2 3 4 5 6 7 8 9 10-9 -8 -7 -6 -5 -4 -3 -2 -1-10 x

y

1

2

3

4

56

7

8

9

10

-1

-2

-3

-4

-5

-6

-7-8

-9

-10

y 0 1 2

x 1 3 5

y = 2x + 1

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Task

Page

Exercise

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0 1 2 3 4 5 6 7 8 9 10-9 -8 -7 -6 -5 -4 -3 -2 -1-10 x

y

1

2

3

4

5

6

78

9

10

-1

-2

-3

-4

-5-6

-7

-8

-9

-10

y = x

y = 2x

y = 3x

y = x

x y

0 0

3 3

-4 -4

x y

0 03 6

-4 -8

x y

0 0

2 6

-3 -9

x y

0 08 4

4 2

Drawing Straight Line Graphs