Where m and c are whole numbers. Linear Graphs A graph of any equation illustrates the co-ordinate points which satisfy the rule defined by the equation itself. Linear graphs will always be straight lines. They will usually have the form: y = mx + c Where m and c are whole numbers.

Complete the table and then draw the graph on suitable pair of axes. 1. y = 2x + 3 Rule: Multiply the x-value by 2 and add 3 to find the y-value X – 2 2 4 Y   - 1 3 7 11

11 10 9 8 7 6 5 4 3 2 1 - 1 -2 - 1 1 2 3 4 5 6 x y X – 2 2 4 Y - 1  3 7   11

Multiply the x-value by 3 and take 2 to find the y-value 2. y = 3x – 2 Rule: Multiply the x-value by 3 and take 2 to find the y-value X – 1 1 2 Y   1 4 - 5 - 2

4 3 2 1 -1 -2 -3 -4 -5 -1 1 2 y x X – 1 1 2 Y - 5  - 2  4