Learn how to graph a system of linear inequalities in standard form

The video tutorial focuses on graphing linear inequalities, emphasizing the importance of rewriting equations in slope-intercept form. It demonstrates how to solve inequalities for Y and graph them, using examples of Y < -2/3X + 2 and Y ≥ -2/3X + 4. The tutorial highlights the significance of identifying slopes and Y-intercepts, plotting points, and using dashed or solid lines based on inequality symbols. It also explains shading regions to represent solutions and discusses the concept of parallel lines in systems of inequalities.

What is the first step in graphing an inequality in two variables?

• Plot the Y-intercept

• Rewrite the inequality in slope-intercept form

• Draw a solid line

• Shade the region above the line

When graphing the inequality Y < -2/3X + 2, what type of line should be used?

• Solid line

• Thick line

• Dashed line

• Dotted line

How do you determine the direction of shading for the inequality Y < -2/3X + 2?

• Shade above the line

• Shade below the line

• Shade to the left of the line

• Shade to the right of the line

What is the Y-intercept of the inequality Y ≥ -2/3X + 4?

• (0, 2)

• (0, 4)

• (2, 0)

• (4, 0)

What is the relationship between the lines of the two inequalities discussed?

• They are parallel

• They intersect at one point

• They overlap completely

• They are perpendicular