Graphing Linear Inequalities

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Objective

I can graph linear inequalities on a coordinate plane.

Part 1 of 4

Warm-up video

Kayla Jones · 3:27

We don't generate video — this one is by Kayla Jones on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

  1. 1

    When graphing inequalities, the equation is in the form of y = mx + b, where m is the slope and b is the y-intercept.

  2. 2

    When graphing inequalities, use a solid line if the inequality includes "or equal to," and use a dashed line if it does not.

  3. 3

    When graphing y > mx + b, shade above the line, and when graphing y < mx + b, shade below the line.

Part 3 of 4

Practice

11 questions

1

What are the two main differences when graphing linear inequalities compared to graphing linear equations (y = mx + b)?

2

What does the 'm' represent in the equation y = mx + b, and how does it affect the graph of the inequality?

Part 4 of 4

Exit ticket

Quick comprehension check

Graph the inequality y ≥ -x + 1 on a coordinate plane. Indicate whether you should use a solid or dashed line, and shade the appropriate region.

Sample answer included in the free materials

Get the materials

Teacher guide, student handout, and slides — free, in Google Docs format

  • Teacher Guide

    Complete lesson plan with answer keys and alternate activities

  • Student Handout

    Printable worksheet

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