Linear and Non-Linear Equations

Linear

x = 4

Domain: x = 4

Range: real #

I can tell from the graph because it forms a straight line. I can tell from the equation because it is in y=mx+b form.

Linear

y = 1

Domain: real #

Range: y = 1

I can tell from the graph because it forms a straight line. I can tell from the equation because it is in y=mx+b form.

Non-Linear Equations

x2+y2=16

Domain: -4<x<4

Range: -4<y<4

I can tell from the graph because it doesn’t form a straight line it has a curve. I can tell from the equation because it isn’t in y=mx+b form.

Non-Linear Equations

y=2x

Domain: 1>x>0

Range: 1>y>0

I can tell from the graph because it doesn’t form a straight line it has a curve. I can tell from the equation because it isn’t in y=mx+b form.

Self-Assessment

I explored mathematical ideas using technology when using desmos, desmos represented the equation in a graph form making it easier to understand the equation.

I analyzed data and used criteria to draw conclusions when I used desmos graphing the equations and analyzing if the belong in the Linear or Non-Linear Equations category.

I justified my conclusions with evidence when looking back at my note confirming the equations are Linear and Non-Linear.