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Geometry
36. CC.HSA.SSE.A.1
36.2 Applications of linear equations
Linear Equation Applications
Model real situations with y = mx + b, where b is the starting value and m is the constant rate of change.
What You'll Learn
Linear applications use y = mx + b: b is the start, m is the constant rate.
A flat fee plus a per-unit rate is a classic linear application.
The rate stays constant, which is why the graph is a straight line.
Reading a word problem means identifying which number is b and which is m.
The same setup models cost, distance at constant speed, and simple interest.
What You'll Practice
1
Finding equations of parallel and perpendicular lines with shared intercepts
2
Solving word problems involving depreciation and appreciation rates
3
Calculating profit, revenue, and cost using linear functions
4
Working with systems of equations to find unknown values
Why This Matters
Linear equations model countless real-world situations you encounter dailyfrom calculating costs and profits in business to understanding depreciation of assets. Mastering these applications prepares you for advanced math courses and careers in finance, engineering, and data analysis.
This Unit Includes
7 Video lessons
Practice exercises
Learning resources
Skills
Linear Equations
Slope
Parallel Lines
Perpendicular Lines
Word Problems
Systems of Equations
Rate of Change
Real-World Applications
OH Curriculum Aligned