1.11.0 Lesson Overview

In this lesson, you will continue to practice relating the structure of equations to the situation and corresponding graphs. You will use your understanding of constraints, equations, and points on a graph to explain whether a graph represents an equation and a situation. Along the way, you will practice reasoning quantitatively and abstractly and constructing logical arguments.

When you finish this lesson, you will be able to:

• Find the slope and vertical intercept of a line with equation $ax+by=c$.
• Take an equation of the form $ax+by=c$ and rearrange it into the equivalent form $y=mx+b$.
• Use a variety of strategies to find the slope and vertical intercept of the graph of a linear equation given in different forms.

Here are the activities that will help you reach those goals:

• 1.11.1: Applying the Distributive Property to Rewrite Expressions
• 1.11.2: Relating Two-Variable Equations, Their Graphs, and Situations
  • 1.11.2: Self Check
  • 1.11.2: Additional Resources
• 1.11.3:Reasoning Symbolically and Abstractly about Linear Equations
  • 1.11.3: Self Check
  • 1.11.3: Additional Resources
• 1.11.4: Identifying the Features of a Graph

After that, you’ll practice and review.

• 1.11.5: Practice
• 1.11.6: Lesson Summary