Linear Equations
2x-3y=12
This is a linear equation, I can tell from the graph because this is a straight line and by the line test, it pass. I can tell from the equation, because it’s slope-intercept from.
x=4
This is a linear equation, I can tell from the graph because this is a straight line and by the line test, it pass. I can tell from the equation because it’s a slope-intercept from.
Non-Lenear equations
y=√x
This is a nonlinear equation. I can tell from the graph because it’s not a straight line and by the line test, it fail. I can tell from the equation because it’s not a slope-intercept from, there is a square root.
x²+y²=16
This is a nonlinear equation. I can tell from the graph because it’s not a straight line and by the line test, it fail. I can tell from the equation because it’s not a slope-intercept from, there is a square root.
Self-assessment
- I explored mathematical ideas using technology when I looking for what kind of line is drawn when equation is represented by a graph.
- I analyzed data and used criteria to draw conclusions when I finding linear and non-linear equations.
- I justified my conclusions with evidence when I comparing graph and equation and confirming that it holds.