How to graph a linear inequality by rewriting the inequality in slope intercept form

The video tutorial explains how to graph a linear inequality, starting with solving for Y. It covers identifying the slope and Y-intercept, graphing the inequality, and determining whether the line should be dashed or solid. The tutorial also discusses using test points to decide where to shade on the graph, emphasizing the importance of solving the inequality in the correct format.

What is the first step in solving the inequality 2X + y < 6?

• Multiply both sides by 2

• Divide both sides by 2

• Subtract 2X from both sides

• Add 2X to both sides

When graphing the inequality y < -2X + 6, why is the line dashed?

• Because the inequality is 'greater than or equal to'

• Because the inequality is 'greater than'

• Because the inequality is 'less than or equal to'

• Because the inequality is 'less than'

How do you determine the slope from the equation y = -2X + 6?

• The slope is -2

• The slope is 2

• The slope is 6

• The slope is -6

What is the y-intercept of the line y = -2X + 6?

• 0

• 2

• 6

• -2

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

• (0,0)

• (-1,-1)

• (2,2)

• (1,1)