Linear Equations

Example.1

2x-3y=12

This is a linear equation. I can tell from the graph because it is a straight line. I can tell from the equation because it has no powers.

Example. 2

y-3=4 (x+1)

This is a linear equation. The graph is showing a straight line meaning it is a linear equation. The equation is showing me it is a linear equation because it has no powers or exponents in it.

Non Linear

Example.1

x² + y² = 16 

This is a non linear equation. I can tell from the graph because it is not a straight line. I can tell from the equation because the x and y are being squared making it non linear.

Example.2

y=2^x 

This is a non linear equation. I can tell from the graph because it is a curved line. I can tell from the equation because there is an exponent x over the 2.

Self Assesment

I explored mathematical ideas with technology when I used the website Desmos to create graphing diagrams with my equations.

I analyzed data and used criteria to draw conclusion when I figured out if the equations were linear or non linear.

I justified my evidence with conclusions when I gave reasoning as to why they were linear or non linear equations.