Linear Equations

This is a linear equation. I can tell from the graph because the line does not curve, it is straight. I can tell from the equation, because the variables (“x” and “y”) have an exponent of 1.

This is a linear equation. I can tell from the graph because the line does not curve, it stays straight. I can tell from the equation, because the variables (“x” and “y”) have an exponent of 1.

This is not a linear equation. I can tell from the graph because the line does not stay straight, it curves. I can tell from the equation, because the variables (“x” and “y”) have an exponent of greater than 1.

This is not a linear equation. I can tell from the graph because the line does not stay straight, it curves. I can tell from the equation, because the variable (“x”) has an exponent greater than 1 (when the equation is solved/multiplied).

Self Assessment

• I explored mathematical ideas using technology when I zoomed in (as far as I could) to an asymptote on Desmos to see that no matter how close you go, it does not touch the line.
• I analyzed data and used criteria to draw conclusions when I put the equations from the criteria into Desmos to see what the line would look like, and if they turn out linear or not linear.
• I justified my conclusions with evidence when I gave my reason as to why that graph/equation is linear/not linear.