How to graph a system of linear inequalities in slope intercept form

The video tutorial explains how to graph a system of two linear inequalities. It covers plotting each inequality on the same coordinate axis, determining the slope and y-intercept, and deciding whether the line should be solid or dashed. The tutorial also demonstrates using test points to determine the shading of the graph, ensuring the correct region is shaded to represent the solution set of the inequalities.

What is the first step in graphing a system of linear inequalities?

• Identifying the x-intercept

• Determining the solution region

• Graphing both inequalities on the same axis

• Plotting the test point

When graphing the first inequality, what does the slope of 2/3 indicate?

• Move up 2 units and right 3 units

• Move down 2 units and left 3 units

• Move down 2 units and right 3 units

• Move up 2 units and left 3 units

How do you determine if the line for an inequality should be solid or dashed?

• If the inequality is strict (< or >), use a dashed line

• If the inequality is non-strict (≤ or ≥), use a solid line

• If the inequality is non-strict (≤ or ≥), use a dashed line

• If the inequality is strict (< or >), use a solid line

What is the slope of the second inequality if no number is in front of x?

• 0

• 2

• 1

• Undefined

How can you represent a slope of 1 as a fraction?

• 0/1

• 1/1

• 2/1

• 1/2

Which test point is commonly used to determine the shading of inequalities?

• (1,1)

• (-1,-1)

• (0,0)

• (2,2)

What does it mean if the test point (0,0) satisfies an inequality?

• Shade the region that includes the test point

• Shade the region that does not include the test point

• The test point is on the line

• The inequality has no solution