## 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**

### 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**

### 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**

**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**

**How to Graph Non-Linear Relationships**

### To graph non-linear relationships, you need to first set up a T-Chart.

### Then you use your knowledge of linear equations to solve for X and Y values, once you have a table, you can then use those values as co-ordinates and plot that on the Cartesian Plane.

### Just remember, when you square a negative number, the resulting answer is always positive!

**Non-Linear Relationships Videos**

**Non-Linear Relationships Videos**