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Lesson 12NYS COMMON CORE MATHEMATICS CURRICULUMM3ALGEBRA Lesson 12: The Graph of the Equation () Student Outcomes Students understand the meaning of the graph of (), namely (, ) | and (). Students
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01
Start by writing down the two linear functions in the form y = mx + b.
02
Identify the slope (m) and y-intercept (b) of each function.
03
Compare the slopes of the two functions. If the slopes are equal, the functions are parallel; if not, they are not parallel.
04
Compare the y-intercepts of the two functions. If they are equal, the functions coincide; if not, they are distinct.
05
Plot the two functions on a graph to visually compare them.

Who needs comparing two linear functions?

01
Students studying algebra or calculus.
02
Mathematicians comparing different linear functions.
03
Engineers analyzing linear relationships in data.
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Comparing two linear functions involves analyzing the similarities and differences between two equations that represent linear relationships.
Individuals or companies who are trying to find common factors or discrepancies between two linear functions may need to file a comparison report.
To fill out a comparison of two linear functions, you would need to analyze the coefficients of the variables and the constant terms in the equations.
The purpose of comparing two linear functions is to understand how they relate to each other mathematically and to determine if they have any similarities or differences.
The comparison report should include details of the two linear functions being compared, the methodology used for comparison, and any conclusions drawn from the analysis.
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