Mammoth Memory

Difficult examples

Example 1

Plot the graph of ` y = x`

This actually means `y=mx+c`

                                    `y=1x+zero`

Graph of `y=x`

First lets calculate some points on the graph.

`x=-2`      then   `y=-2`

`x=-1`      then   `y=-1`

`x=0`           then    `y=0`

`x=1`           then   `y=1`

`x=2`           then   `y=2`

 

Now draw a graph and mark on the above points

04_example-1-a.jpg

Now draw a straight line through these points

05_example-1-b.jpg

 

Example 2

Plot the graph of  `y+x=5`

Always put the formula in the form  `y=mx+c`

                                                                 `y=-1x+5`

First lets calculate some points on the graph.

`x=-2`    then `y=-1(-2)+5=7`

`x=-1`    then `y=-1(-1)+5=6`

`x=0`         then `y=-1(0)+5=5`

`x=1`         then `y=-1(1)+5=4`

`x=2`        then `y=-1(2)+5=3`

 

Now draw a graph and mark on the above points

06_example-2.jpg

Now draw a straight line through these points

 07_example-2.jpg

Example 3

Plot the graph of   `2y -3x=7`

Always put the formula in the form    `y=mx+c`

                                                                  `2y=3x+7`

                                                                  `y=3/2x+7/2`

                                                                  `y=1\1/2x+3\1/2`

First lets calculate some points on the graph.

`x=-2`   then `y=1.5(-2)+3.5=0.5`

`x=-1`   then `y=1.5(-1)+3.5=2`

`x=0`         then `y=1.5(0)+3.5=3.5`

`x=1`         then `y=1.5(1)+3.5=5`

`x=2`        then `y=1.5(2)+3.5=6.5`

 

Now draw a graph and mark on the above points

08_example-3.jpg

Now draw a straight line through these points

09_example-3.jpg 

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