Linear and Non-Linear Equations

Linear Equations

2x-3y=12 This is a linear equation because on the graph it is a one to one function and in the equation you can see it falls under the “Ax+By=C” category.
x=4 This is a linear equation because on the graph the line goes straight up and down and the equation shows there’s no other number conflicting with x.

Non-Linear Equations

 
This is not a linear equation because on the graph the end lines connect and in the equation two squared is the formula for a circle.
y=(x+1)(x-1) This is a non linear equation because the graph doesn’t pass the horizontal test and the equation uses brackets.

Self Assessment

I explored mathematical ideas using technology when I typed in my equation to the demos website and had a visual representation of it in the form of a graph.

I analyzed data and used criteria to draw conclusions when I saw how the graph formulated the equation showing whether or not it was suitable for this assignment.

I justified my conclusion with evidence when I used my knowledge to examine the graph and wrote supporting details.