Linear Equations, Non-Linear Equations, Self-Assessment

1. y=2^{x}

This is not a linear equation. I can tell from the graph because is it not a straight line. I can tell from the equation, because it is not f(x)=mx+b equation.

2. x^{2}+y^{2}=16

This is not a linear equation. I can tell from the graph because is it not a straight line. I can tell from the equation, because it is not f(x)=mx+b equation.

3. y= {1}/{3}x-2

This is a linear equation. I can tell from the graph because is it a straight line. I can tell from the equation, because it is a f(x)=mx+b equation.

4. y-3=4(x+1)

This is a linear equation. I can tell from the graph because is it a straight line. I can tell from the equation, because it is a f(x)=mx+b equation.

Self-Assessment:

I explored mathematical ideas using technology when I have to found out that whether the equation is a linear equation or a non-linear equation. I analyzed data and used criteria to draw conclusions when I use DESMOS and look at the graphic is a straight line or not. I justified my conclusions with evidence when I found out that the equation is matched with my answers.