Graph simple non-linear relations with and without the use of digital technologies and solve simple related equations (VCMNA311)
LO:To plot simple non-linear relationships on the Cartesian Plane
Know:
- What a linear equation is.
- What a non-linear equation is.
- How to use co-ordinates to plot points on the Cartesian plane.
Understand:
- That non-linear equations can be used as graphical representations to show a linear relationship on the Cartesian Plane.
Do:
- I can plot non-linear relationships on the Cartesian plane.
Linear Relationships

Linear relationships show a steady increase or decrease between two variables.
In this case, distance and time have a linear relationship as the distance is 25 times the value of the time. As 1 variable goes up the other variable increases in a similar manner.
Non-Linear Relationships

Non-linear relationships do not show a steady increase or decrease between two variables.
It usually shows a curved relationship or even circular.

How to Graph Linear Relationships


To graph linear relationships, you need to first set up a T-Chart.
Then you insert values for “X” and find out the corresponding values for “Y”. In this case when X = -3, then Y = 1 and when X = -2 then Y = 2.
Once you have values for X and Y, you can use those values as co-ordinates and plot that on the Cartesian Plane.

How to Graph Non-Linear Relationships
