Non-linear
Equation : y=2x ( x is an exponent)
This graph is not a linear equation. I can tell from this graph because it demonstrates a curve and bent line not a straight line. I can tell from the equation because it includes a exponent in the linear equation.
Linear Graph
![](https://mycentennial.sd43.bc.ca/rachelleh2020/files/2022/04/desmos-graph-1.png)
Equation : 2x-3y = 12
This graph is a linear equation. I can tell from this graph because it indicates a straight line and not a curve line. I can tell from the equation because it has a form of Ax + By = C in the equation.
Non-Linear
![](https://mycentennial.sd43.bc.ca/rachelleh2020/files/2022/04/desmos-graph-2.png)
Linear Graph
Equation : x2+y2 = 16 (2 is an exponent)
This graph is not a linear equation. I can tell from this graph because it demonstrates a curve and drawn as a circle not a straight line. I can tell from the equation because it includes a exponent in the linear equation of “x” and “y”.
![](https://mycentennial.sd43.bc.ca/rachelleh2020/files/2022/04/desmos-graph-3.png)
Equation: x = 4
This graph is a linear equation. I can tell from this graph because it shows a straight line along the graph. I can tell from the equation because it has a form of Ax + By = C in the equation. As it demonstrates only the x axis in the linear graph.
Self-Assessment
I explored mathematical ideas using technology when I was creating and identifying linear or non-linear graphs. By exploring different varieties of equations onto the graph. I analyzed data and used criteria to draw conclusions when I was analyzing how I can tell if its a linear or not linear equation by looking at the linear equation. I justified my conclusions with evidenced when I was reading the graph by looking at my notes from previous lessons and homework assignments to help answer the equation.