6.4 Graphing Inequalities on a plane

Front

What is the slope-intercept form of a linear equation?

Back

Front

Back

The slope is -1, which indicates that for every 1 unit increase in x, y decreases by 1 unit.

Front

What does the y-intercept represent in a graph?

Back

Front

Back

The graph will be a dashed line, indicating that points on the line are not included in the solution set.

Front

Back

The graph will be a solid line, indicating that points on the line are included in the solution set.

Front

Back

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

Front

How do you determine which side of the line to shade when graphing an inequality?

Back

Choose a test point not on the line (commonly (0,0)). Substitute it into the inequality. If the inequality holds true, shade the side containing the test point.

Front

Back

A horizontal dashed line at y=4, with the area above the line shaded.

Front

Back

A dashed line with a slope of -2 and a y-intercept of 1, with the area below the line shaded.