Graphing a linear system of inequalities and shading their solution

The video tutorial explains how to graph a system of linear inequalities. It begins with an introduction to the concept, followed by rewriting equations into slope-intercept form. The tutorial then demonstrates graphing each equation separately, determining whether the boundary lines are solid or dashed. Finally, it covers using test points to determine the correct shading for the solution region.

What is the initial step when graphing a system of linear inequalities?

• Graph the inequalities directly.

• Treat the inequalities as equations to graph boundary lines.

• Determine the test points first.

• Shade the regions first.

How do you rewrite an equation in slope-intercept form?

• By dividing both sides by x.

• By multiplying both sides by 2.

• By isolating the y-term on one side.

• By adding the x-term to both sides.

What is the slope of the equation y = 2x + 3?

• 1

• -2

• 2

• 3

When graphing the equation y = x + 1, what is the y-intercept?

• (1, 0)

• (0, 1)

• (0, 0)

• (1, 1)

How do you determine if a boundary line should be dashed or solid?

• By checking if the inequality is strict or not.

• By the color of the line.

• By the slope of the line.

• By the y-intercept.

What is the purpose of using a test point in graphing inequalities?

• To decide which region to shade.

• To determine the y-intercept.

• To check if the line is dashed.

• To find the slope.

Which point is commonly used as a test point for determining shading?

• (1, 1)

• (0, 0)

• (3, 3)

• (2, 2)