Linear Equations and Graphs

X=4

I know this is a linear function because it is a straight line on the graph with no curves, I can tell from the equation because only the value of x is present in the equation, like y=5 or x=6 which would equal a straight line.

y=1/3x – 2

I can tell this is a linear function because of the straight line with no curves, and these kinds of linear functions are 1:1 functions. I can tell this is a linear equation from the equation y=mx+b.

Non-Linear Equations

y=1/2×3

I know this is a Non-linear function because the function is curving outwards. I can tell from the equation because it doesn’t use the formula y=mx+b.

x2+y2=16

I know this is a Non-linear function because the function is in the shape of a circle. I can tell that this is a Non-linear equation because it doesn’t use the formula y=mx+b.

Self-Assessment

I explored mathematical ideas using technology when I …

I used DESMOS to format the Linear and Non-Linear equations I picked.

I analyzed data and used criteria to draw conclusions when I …

I used the given equations and recognized whether they were Linear or Non-Linear functions using DESMOS and formulas I learned.

I justified my conclusions with evidence when I …

I saw the graphed functions, and when I compared equations to the formula y=mx+b.