Learn how to graph and shade a system of linear inequalities

The video tutorial explains how to solve and graph inequalities by identifying X and Y intercepts, understanding slope and Y intercept, and plotting points on a graph. It covers the concept of feasible regions and how to determine them by shading the appropriate areas. The tutorial also clarifies the handling of negative slopes and the use of test points to verify solutions.

What is the slope of the line in the equation Y = -2X - 5?

• 2

• -5

• 5

• -2

How can you express a slope that is not initially a fraction?

• By subtracting 1 from it

• By rewriting it over 1

• By dividing it by 2

• By adding 1 to it

What is the Y-intercept of the line Y = X + 3?

• (3, 0)

• (0, -3)

• (3, 3)

• (0, 3)

When graphing inequalities, what is the significance of a dashed line?

• It shows the line is not part of the solution

• It indicates a solid boundary

• It means the line is horizontal

• It represents a vertical line

What does the feasible region represent in graphing inequalities?

• The area above both lines

• The area where no solutions exist

• The intersection of the two lines

• The region where both inequalities are satisfied

How do you determine where to shade when graphing the inequality Y > -2X - 5?

• Shade to the right of the line

• Shade to the left of the line

• Shade above the line

• Shade below the line

What is the slope of the line Y = X + 3?

• 3

• 0

• -1

• 1