Chapter 5.1
Are All Linear Equations Functions? Demystifying the Concept
Dive into the world of linear equations and unravel the mystery of which ones qualify as functions. Learn to identify, graph, and apply these essential mathematical relationships with confidence.
What You'll Learn
Identify whether an equation is linear by checking for first-degree variables
Recognize that linear equations have infinite solutions forming a straight line
Convert linear equations to y = mx + b form for easier graphing
Graph linear equations by plotting the y-intercept and applying the slope
Understand that slope represents rise over run between any two points on the line
What You'll Practice
1
Determining which equations are linear vs. non-linear
2
Graphing lines using y-intercept and slope method
3
Converting standard form equations to slope-intercept form
4
Plotting lines with positive, negative, and fractional slopes
Why This Matters
Linear equations are the foundation of algebra and appear everywhere in math and science. Understanding how equations relate to their graphs helps you model real-world relationships, from calculating costs to predicting trends, and prepares you for advanced topics like systems of equations and calculus.
Before You Start — Make Sure You Can:
This Unit Includes
5 Video lessons
Practice exercises
Learning resources
Skills
Linear Equations
Graphing
Slope
Y-Intercept
Slope-Intercept Form
Coordinate Plane
Solution Sets
OH Curriculum Aligned
