Non Linear equations

Y=1/2x^3

This is not a linear equation. I can tell by the graph as when I do the horizontal line test, it fail, and is also not a straight line . And I could tell it’s not a linear equation as the variable has an exponent of three.

x^2+y^2=16

This is not a linear equation. I can tell by the graph as this fails both the horizontal and vertical line test, and is also not a straight line. And I could tell it’s not a linear equation as the variables have an exponent of two.

Linear equations

2x-3y=12

This is a linear equation. I can tell by the graph as it passes both tests, and is a straight line. And I could tell its a linear equation from the equation as the variables have an exponent of one

y=2x

This is a linear equation. I can tell by the graph as it passes both horizontal and vertical line tests, and this is a straight line. I could tell this is a linear equation from the equation as the variables only have an exponent of one.

Self Assessment

I explored mathematical ideas using technology when I used Desmos to create graphs that demonstrate four different equations

I analyzed data and used criteria to draw conclusions when it was necessary to do so.

I justified my conclusions with evidence when I explained why I thought it was either a linear equation or a non linear equation.