Graphing Simple Non-Linear Relationships (9)

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 to the left distance and time have a linear relationship as distance is 25 times the value of the time.

Non-Linear Relationships

Non-linear relationships do not show a steady increase or decrease between two variables.

It usually shows a curved relationship.

How to Graph Linear Relationships

Picture
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.

Purple maths

How to Graph Non-Linear Relationships

Picture
To graph non-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.

Purple maths

Non-Linear Relationships Videos

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