Graph a linear inequality in standard form

The video tutorial explains how to graph inequalities by first converting them into standard form and finding the x and y-intercepts. It highlights the similarities between graphing equations and inequalities, focusing on the differences in shading and line types. The tutorial demonstrates plotting points, connecting them to form a line, and using test points to determine shading for inequalities.

Summarize the key steps to graphing an inequality as mentioned in the text.

Describe the process of determining the shading for an inequality graph.

What is the significance of the test point (0, 0) in the context of graphing inequalities?