How to graph a system of linear inequalities in slope intercept form

The video tutorial explains how to graph a system of two linear inequalities. It covers plotting each inequality on the same coordinate axis, determining the slope and y-intercept, and deciding whether the line should be solid or dashed. The tutorial also demonstrates using test points to determine the shading of the graph, ensuring the correct region is shaded to represent the solution set of the inequalities.

Describe the process of shading the graph after plotting the inequalities.

What is the significance of the test point (0,0) when determining the shading of the graph?

What does it mean when the test point makes the inequality false?