Linear Equations
Example 1:
This is a linear equation. I can tell from the graph because on a graph a linear relation looks like a straight line. I can tell from the equation, because the “x” variable only has an exponent of 1.
Example 2:
This is a linear equation. I can tell from the graph because on a graph a linear relation looks like a straight line. I can tell from the equation, because the “y” and “x” variables have an exponent of 1.
Non-Linear Equations
Example 1:
This is not a linear equation. I can tell from the graph because the line appears curved and does not have a constant slope. I can tell from the equation because the “x” and “y” variables have an exponent of more than 1.
Example 2:
This is not a linear equation. I can tell from the graph because the line appears curved and does not have a constant slope. I can tell from the equation because the “y” variable has an exponent of 1, but the “x” variable has an exponent of more than 1.
Self-Assessment:
- I explored mathematical ideas using technology when I used Desmos to create a well structured and clear graph to show my understanding of the equation.
- I analyzed data and used criteria to draw conclusions when I determined which questions were linear/non-linear, and wrote summaries about each equation above.
- I justified my conclusions with evidence when I explained why each equation would be considered linear or non-linear.