Non-Linear Equations

Example 1:

Y = 2ˣ

This is a non-linear equation. I can tell from the graph because the graph is not a straight line and it curves. I can tell from the equation because it has an ‘x’ as an exponent and it does not follow the ‘y = mx + b’ format.

Example 2:

Y = √x

This is a non-linear equation. I can tell from the graph because it is not a straight line and it curves. I can tell from the equation because it has a ‘√’ (square root symbol) and it does not follow the ‘y = mx + b’ format.

Linear Equations

Example 3:

2x – 3y = 12

This is a linear equation. I can tell from the graph because it is only marked on 2 points and visually looks straight. I can tell from the equation because it does not have any exponent symbols and square root symbols and it does follow the ‘y = mx + b’ format.

Example 4:

X = 4

This is a linear equation. I can tell from the graph because it is only marked on 1 point and visually looks straight. I can tell from the equation because it does not have any exponent symbols and square root symbols and it only marks ‘x’ as ‘4’

Self Assessment

I explored mathematical ideas using technology using the Desmos website I was given through teams.

I analyzed data and used criteria to draw conclusions when I inputed 4 equations to show them visually in the Desmos website.

I justified my conclusions with evidence when I gave an explanation for each equation explaining why it is linear or non-linear.