Standard
A.REI.6 Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
1. Plot the graph like you normally would
2. Plot the graph like you normally would
The red graph is y = 2x + 3
The blue graph is y = -2x - 2
When the equations aren't given in slope-intercept form, you need to convert them and change them to slope intercept form. To do that, you have to solve for y, and then you continue to graph them like you would with slope intercept form.
2x + 3y = 5
3y = -2x + 5
y = (-2/3)x + 5/3
6x - 2y = 4
-2y = -6x + 4
y = 3x - 2
1. y = (-2/3)x + 5/3
2. y = 3x -2
1. Plot the graph like you normally would
2. Plot the graph like you normally would
The purple graph is y = 3x - 2
The green graph is y = (-2/3)x + 5/3
Solving systems of equations graphically