Linear equations

2x – 3y = 12

This is a linear equation. I can tell from the graph because it’s a straight line. I can tell from the equation because there aren’t exponents

y – 3= 4 (x + 1)

This is a linear equation. I can tell from the graph because it forms a straight line. I can tell by the equation because it follows the form of our linear equation.

y = 2x (x is exponent)

This is a non-linear equation. I can tell from the graph because it’s a big curve. I can tell from the equation because it doesn’t match our forms of linear equations.

x2 + y2= 16

This is not a linear equation. I can tell from the graph because it is a circle and isnt a line. I can tell from the equation because it doesn’t match our linear form.

Self reflection

• I explored mathematical ideas using technology when I completed this assignment today on DESMOS

• I analyzed data and used criteria to draw conclusions when I wrote my understanding of the graphs and equations.

• I justified my conclusions with evidence when I gave reasonings for my explanation.