How to graph a linear inequality in standard form and shade

The video tutorial explains how to graph the linear inequality 2X + 5Y ≤ 10 using standard form. It begins by converting the inequality to slope-intercept form for those interested, but focuses on graphing in standard form using the intercept method. The tutorial covers finding the X and Y intercepts, determining whether the boundary line is solid or dashed, and deciding the shading area using a test point. The video concludes with a recap of the graphing process.

Describe the steps taken to graph the linear inequality in slope-intercept form.

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