How to graph and shade a system of linear inequalities

The video tutorial covers solving two inequalities on the same graph. It begins with an introduction to the concept, followed by rewriting equations into slope-intercept form. The instructor then demonstrates graphing the inequalities, identifying slopes and intercepts, and using test points to determine shading. The tutorial concludes with identifying the solution region where both inequalities are true.

What is the main difference when graphing two inequalities compared to one?

• You graph them on the same coordinate axis.

• You only graph one inequality.

• You need to change the slope.

• You use a different coordinate axis.

How should the slope be expressed when identifying it from an equation?

• As a percentage.

• As a decimal.

• As a whole number.

• As a fraction.

What is the y-intercept of the equation y = -x + 4?

• (0, 4)

• (4, 4)

• (4, 0)

• (0, -4)

What type of line is used for inequalities that include 'less than or equal to'?

• Solid line

• Dashed line

• No line

• Dotted line

If a test point is false for an inequality, where should you shade?

• On the test point

• Towards the test point

• Away from the test point

• Do not shade