Graphing Linear Inequalities

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:

Teacher Guide
Student Doc
Slides