
Graphing Linear Inequalities
Grade 9th Grade · Math · 45 min· Big Ideas Math
What's Included
Learning Objective
I can graph linear inequalities on a coordinate plane and identify the solution set.
Warm-Up Video
Khan Academy · 8:04
Introduction to graphing inequalities | Two-variable linear inequalities | Algebra I | Khan Academy
Guided Notes
3 key concepts
- 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.
Practice Questions
8 questions · Multiple choice & Short answer
Exit Ticket
Quick comprehension check
“Graph the inequality y > 2x - 1 on a coordinate plane. Use a dashed line or solid line as appropriate, and shade the solution set.”
Complete Lesson Package
Get all 3 ready-to-use resources:


