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Module 8: Linear Equations and Linear Systems
Special Cases
Module 8: Linear Equations and Linear Systems
Introduction and Terminology
Linear Equations
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Converting between Both Forms
Formulating Linear Equations
Graphing
Table of Values
Intercepts
Slope/Intercept
Special Cases
Relations between Linear Equations
Linear Systems
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Solving Using Substitution
Solving Using Elimination
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Special Cases
To recount, we’ve encountered two types of slopes:
Positive slope: as x increases, y increases.
Negative slope: as x increases, y decreases.
Zero Slope
When a graphed line is fully horizontal.
No rise, all run.
For
$m={\displaystyle \frac{rise}{run}}$
as the fraction, the numerator is 0, making the whole fraction 0.
Undefined Slope
When a graphed line is fully vertical.
No run, all rise.
For,
$m={\displaystyle \frac{rise}{run}}$
as the fraction, then denominator is 0, making the whole fraction undefined.
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