Linear Equations

Example 1:

This is a linear equation. I can tell from the graph because the green line is straight. I can tell from the equation, because all the variables have an exponent of one.

Example 2:

this is a linear equation. I can tell from the graph because the blue line is straight. I can tell from the equation, because all the variables have the same exponent of one.

Non-Linear Equations

Example 1:

This is a non-linear equation. I can tell from the graph because the red line is in a circle and not in a straight line. I can tell from the equation, because the variables have an exponent of two.

Example 2:

This is a non -linear equation. I can tell from the graph because the green line is not a straight line, it is curved. I can tell from the equation, because the variable x is to the power of three.

Self Assessment

• I explored mathematical ideas using technology when I used the website Desmos to create graphs for the linear and non-linear equations I chose on teams.

• I analyzed data and used criteria to draw conclusions when I figured out which equations on teams were linear and which were non-linear.

• I justified my conclusions with evidence when I explained how I could tell each graph and equation was or was non a linear equation.