Graphing a linear inequality greater than or equal to

The video tutorial explains how to graph inequalities by first understanding the slope and y-intercept. It guides through plotting the graph, determining if the line should be solid or dotted, and finally shading the correct region to represent the solution set. The tutorial emphasizes the importance of correctly interpreting the slope and using test points to verify the solution.

What does the 'b' represent in the slope-intercept form of a linear equation?

• The y-intercept of the line

• The midpoint of the line

• The slope of the line

• The x-intercept of the line

How is the slope of a line defined?

• The product of x and y coordinates

• The sum of x and y coordinates

• The ratio of the change in y to the change in x

• The difference between x and y coordinates

If the slope is -3/4, which of the following is a correct interpretation?

• Move down 3 units and left 4 units

• Move up 3 units and left 4 units

• Move down 3 units and right 4 units

• Move up 3 units and right 4 units

What does a closed dot on a graph indicate?

• The point is not part of the solution

• The line is dashed

• The point is part of the solution

• The line is dotted

When graphing inequalities, what does a solid line represent?

• The graph is incorrect

• The line is not part of the solution

• The inequality is strict (greater than or less than)

• The inequality includes equal to (greater than or equal to, less than or equal to)

Which test point is commonly used to determine the shading area in a graph?

• (2,2)

• (1,1)

• (-1,-1)

• (0,0)

If the test point (0,0) satisfies the inequality, where should the shading be applied?

• Below the line

• Above the line

• No shading is needed

• On the line