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Understand the connections between proportional relationships, lines, and linear equations.
6.
Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.

• Expressions and Equations - Standards 5 and 6 Curriculum Guide
The Utah State Office of Education (USOE) and educators around the state of Utah developed these guides for Mathematics Grade 8 Cluster "Understand the Connections Between Proportional Relationships, Lines, and Linear Equations." / Standards 5 and 6.
• IXL Game: Linear Functions
Designed for eighth graders, this game will help the student understand linear functions, specifically how to graph a line from an equation. This is just one of many online games that supports the Utah Math core. Note: The IXL site requires subscription for unlimited use.
• More Complicated Functions: Introduction to Linear Functions
This lesson is designed to reinforce the concept of linear functions and ask students to write functions using English, tables and algebra.
• Walk the Line: A Module on Linear Functions
This is a set of 5 lessons in which students must graph data and analyze linear equations in both algebraic and graphic formats.

These materials have been produced by and for the teachers of the State of Utah. Copies of these materials may be freely reproduced for teacher and classroom use. When distributing these materials, credit should be given to Utah State Office of Education. These materials may not be published, in whole or part, or in any other format, without the written permission of the Utah State Office of Education, 250 East 500 South, PO Box 144200, Salt Lake City, Utah 84114-4200.