Linear Equations

2x – 3y = 12

This is a linear Equation. I can tell from the graph about because all points connect together in a straight line. I can tell from the equation because its uses the form Ax + By = C and my equation is 2x – 3y = 12, this indicates that it is a linear equation.

X = 4

This is a linear equation. I can tell from the graph because its shows a clear straight line of the connecting points all the way through. I can tell from the equation because it contains no exponents in the equation, which indicates that it is a linear equation.

Non – Linear Equations

x² + y² = 16

This is a non – linear equation. I can tell from the graph because all points do not connect in a straight line, they form a circle. I can tell from the equation because the equation contains exponents, which indicates it is a non – linear equation.

y = 2^x

This is a non – linear equation. I can tell from the graph because the line curves and is not a straight line all the way through. I can tell from the equation because it contains an exponent, which indicates that the equation in non – linear.

Self Assessment

I explored mathematical ideas using technology when i used the app DESMOS on my computer, which calculated my mathematical equation i chose and created a graph out of my equation, illustrating if it was either linear or non – linear equation.

I analyze data and used criteria to draw conclusions when i examined my graph and drew conclusions to if it was a linear or non – linear equation. I then concluded with how the graph and equation indicate how it is either a linear or non – linear equation.

I justified my conclusions with evidence when i downloaded the graph that was created with my mathematical equation in DESMOS and pasted it into my edublog post to represent evidence of my linear or non linear equation.