Graphing Linear Inequalities
9th Grade · Math · 45 min· Big Ideas Math
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Learning Objective
I can graph linear inequalities on a coordinate plane and identify the solution set.
- 1
To graph the inequality y ≤ 4x + 3, first graph the line y = 4x + 3, noting that the y-intercept is 3 and the slope is 4, then shade the area below the line.
- 2
If the inequality is strict (y < 4x + 3), graph a dashed line to indicate that the points on the line are not included in the solution.
- 3
To graph y > –½x – 6, graph a dashed line at y = –½x – 6, and shade the area above the line to represent all points where y is greater than –½x – 6.
