Graphing Inequalities and Slope-Intercept Form

The video tutorial explains how to graph linear inequalities in two variables. It begins by converting the inequality into an equation to plot a line on a graph. The tutorial covers using slope-intercept form to plot the line and discusses the importance of using a dotted or solid line based on the inequality. It then explains how to choose a test point, typically the origin, to determine which side of the line to shade. The video concludes by verifying the shading through additional test points, ensuring the correct area is shaded to represent the solution set.

What is the inequality given in the video?

• X + Y > -3

• X + Y < -3

• X - Y < -3

• X - Y > -3

How should we initially treat the inequality for graphing?

• As a quadratic equation

• As a regular equation

• As a polynomial

• As a logarithmic equation

When should a solid line be used in graphing inequalities?

• When the inequality includes 'or equal to'

• When the inequality is strict

• When the inequality is exponential

• When the inequality is quadratic

What form is used to make graphing easier?

• Standard form

• Slope-intercept form

• Point-slope form

• Vertex form

What is the slope of the line in the slope-intercept form?

• 1

• -1

• 0

• 2

What is the y-intercept of the line in the slope-intercept form?

• 1

• 3

• 0

• -3

What is the easiest test point to use when graphing inequalities?

• (1,1)

• (2,2)

• (0,0)

• (-1,-1)

What should you do if the line passes through the origin?

• Use a complex number

• Ignore the test point

• Use the origin anyway

• Use a different test point

What does a false statement at the test point indicate?

• Shade the entire graph

• Do not shade

• Shade below the line

• Shade above the line

What was the additional test point used to verify shading?

• (0,0)

• (1,1)

• (-5,5)

• (5,-5)