#1 Lines.

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Presentation transcript:

#1 Lines

Quick Review

Quick Review

Quick Review

Quick Review Solutions

Quick Review Solutions

Quick Review Solutions

What you’ll learn about… Increments Slope of a Line Parallel and Perpendicular Lines Equations of Lines Applications …and why. Linear equations are used extensively in business and economic applications.

Increments

Example Increments

Slope of a Line A line that goes uphill as x increases has a positive slope. A line that goes downhill as x increases has a negative slope.

Slope of a Line

Parallel and Perpendicular Lines

Equations of Lines

Example Equations of Lines

Point Slope Equation

Example: Point Slope Equation

Equations of Lines

Slope-Intercept Equation

General Linear Equation Although the general linear form helps in the quick identification of lines, the slope-intercept form is the one to enter into a calculator for graphing.

Example Analyzing and Graphing a General Linear Equation [-10, 10] by [-10, 10]

Example Determining a Function f(x) -1 1 5 3 11

Example Reimbursed Expenses