Linear and Non-Linear Equations

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.

Action for goals

I am good at planning schedule so it’s aligned with my goal that I want to have good sleeping habits because setting a regular bed and walk-up time is one of the important parts to achieving my goal. I will make decisions based on what I think is right or wrong, if it is the right choice for me, I will do it. I am making choices that are good for my future so it can show that I am managing my well-being.I will keep monitor and changing my goal if it is necessary.I took ownership of my learning by working hard.