Graphing Linear Inequalities and Functions

The video tutorial covers graphing two-variable inequalities, starting with the equation y = -2x + 3. It explains how to determine if points are solutions to the equation and how to graph inequalities using 'greater than or equal to' and 'less than' symbols. The tutorial also demonstrates graphing multiple inequalities and analyzing their solutions.

What is the first step in graphing two-variable inequalities?

• Plotting random points

• Setting up a coordinate plane

• Drawing a circle

• Calculating the area

What is the y-intercept of the line y = -2x + 3?

• 1

• 3

• 4

• 2

How can you determine if a point is a solution to the equation y = -2x + 3?

• If the point is to the right of the line

• If the point is below the line

• If the point is on the line

• If the point is above the line

What happens to the line when the inequality changes to greater than or equal to?

• The line changes color

• The line remains solid

• The line becomes dotted

• The line disappears

Which of the following points is a solution to the inequality y > -2x + 3?

• (0, 0)

• (2, 2)

• (3, 0)

• (0, 4)

What does a dotted line indicate in the graph of an inequality?

• The line is irrelevant

• Points on the line are solutions

• Points on the line are not solutions

• The line is the only solution

When graphing y < -2x + 3, where are the solutions located?

• Above the line

• To the right of the line

• Below the line

• On the line

What is the slope of the line y = 4x + 2?

• 2

• 3

• 1

• 4

In the inequality y ≥ 2x - 5, what does the solid line represent?

• Points on the line are also solutions

• Only points above the line are solutions

• Points on the line are not solutions

• Only points below the line are solutions

What happens to the inequality sign when you divide by a negative number?

• It becomes an equal sign

• It flips direction

• It disappears

• It stays the same