Graphing Linear Inequalities in Two Variables

The video tutorial explains how to graph linear inequalities in two variables. It covers the use of boundary lines, either dotted or solid, depending on the inequality type. The tutorial demonstrates using test points to determine which side of the boundary line to shade, indicating the solution region. Several examples are provided, illustrating different types of inequalities and graphing techniques.

What type of line is used to graph a strict inequality?

• Curved line

• Solid line

• Dotted line

• No line

What type of line is used when the inequality includes an 'or equal to' condition?

• Dotted line

• No line

• Curved line

• Solid line

What is the y-intercept of the line y = 1/2x - 5?

• -5

• 0

• 5

• -10

In the context of graphing inequalities, what does a test point determine?

• The solution region

• The intercepts of the line

• The slope of the line

• The thickness of the line

In the inequality 2x - 4y <= 12, what is the x-intercept?

• 0

• 6

• 12

• -3

Which point is used to test the solution region in the inequality 2x - 4y <= 12?

• (3,3)

• (1,1)

• (2,2)

• Origin (0,0)

If x = 0 in the equation 2x - 4y = 12, what is the value of y?

• 0

• 3

• 12

• -3

What does the inequality 3x + 5y > 30 use to graph its line?

• Dotted line

• Solid line

• No line

• Curved line

What is the slope of the line y = -3/5x + 4?

• -5/3

• 3/5

• -3/5

• 5/3

For the inequality y < 5, where is the region of solutions located?

• Below the line

• Above the line

• On the line

• Everywhere