Learn how to graph a system of inequalities with a horizontal boundary line

The video tutorial explains how to graph linear inequalities by using different methods, such as the intercept method and rewriting equations into slope-intercept form. It covers identifying x and y intercepts, testing points for shading, and graphing inequalities like y < 3. The tutorial emphasizes understanding the importance of dashed lines for non-inclusive inequalities and shading the correct region that satisfies both inequalities.

What is the preferred method for graphing an equation in standard form when the coefficients divide evenly into the constant?

• Graphing calculator

• Slope-intercept form

• Intercept method

• Substitution method

When using the intercept method, what is the y-value at the x-intercept?

• The coefficient of x

• The constant

• 0

• 1

Why is a dashed line used when graphing the inequality 2y - 4x < 12?

• The line passes through the origin

• The inequality is strict (less than or greater than)

• The inequality is non-strict (less than or equal to)

• The coefficients are fractions

What is the best test point to use for determining shading in a graph?

• (2, 2)

• (-1, -1)

• (0, 0)

• (1, 1)

When graphing y < 3, where should the shading be applied?

• To the left of the line

• Above the line

• Below the line

• On the line