Graphing a linear inequality on a coordinate axis

The video tutorial explains how to graph the equation y = 5x - 8, starting with writing it in slope-intercept form. It covers identifying the slope and y-intercept, graphing the equation, and understanding the differences between dashed and solid lines for inequalities. The tutorial also demonstrates how to determine shading using test points, emphasizing the importance of solving the equation for y to predict shading direction.

What is the first step in graphing the equation y = 5x - 8?

• Plot the y-intercept

• Write the equation in slope-intercept form

• Identify the test points

• Determine the shading

How is the slope used when graphing an equation?

• To find the y-intercept

• To determine the shading

• To decide if the line is dashed or solid

• To plot additional points from the y-intercept

What does a dashed line represent in graphing inequalities?

• The solution includes the line

• The solution does not include the line

• The line is horizontal

• The line is vertical

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

• (1,1)

• (0,0)

• (5,5)

• (-1,-1)

What does it mean if the test point (0,0) is true for an inequality?

• All points on the line are true

• All points below the line are true

• All points above the line are true

• The line is solid