Linear Equations
x=4
This is a linear equation. I can tell from the graph because it forms a straight line. I can tell from the equation because x has a degree of 1.
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 from the equation because the highest exponent is 1.
Non-Linear Equations
y=-2(x-4)^2
This is a nonlinear equation. I can tell from the graph because it forms a parabola. I can tell from the equation because its highest exponent is 2.
y=√x
This is a nonlinear equation. I can tell from the graph because it forms a non straight line. I can tell from the equation because there are square roots.
Self-Assessment
I explored mathematical ideas using technology when I was graphing the equations on Desmos.
I analyzed data and used criteria to draw conclusions when I was checking if the equations were lienar or non-linear.
I justified my conclusions with evidence when I looked at graph and equations.