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.

What is the first step in converting a linear inequality from standard form to slope-intercept form?

• Switch the inequality sign

• Add the coefficients of x and y

• Multiply both sides by 2

• Isolate the variable y by undoing operations

When using the intercept method, what do you set to zero to find the x-intercept?

• The constant term

• The x variable

• The y variable

• The entire equation

How do you determine if the boundary line should be solid or dashed?

• By the intercepts

• By the slope of the line

• By the color of the line

• By checking if the inequality is strict or not

What test point is commonly used to determine the shading of a graph?

• (5,5)

• (2,2)

• (0,0)

• (1,1)

Why is the line solid in the graph of the inequality 2x + 5y ≤ 10?

• Because the inequality is strict

• Because the test point is false

• Because points on the line are part of the solution

• Because the line is horizontal