1.2 - Lines in the Plane

# 1.2 - Lines in the Plane -

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<?xml version="1.0" encoding="utf-8"?> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <title>1.2 - Lines in the Plane</title> <link href=". ./m116.css" rel="stylesheet" type="text/css" /> <meta http-equiv="Content-Type" content="text/html; utf-8" /> </head> <body> <h1>1.2 - Lines in the Plane</h1> <h2>Slope of a Line</h2> <p>The slope is represented by the letter m. </p> <p>The slope of a non-vertical line is defined several ways. It is the rise over the run. It is the change in y over the change in x. </p> <p>For two points (x<sub>1</sub>,y<sub>1</sub>) and (x<sub>2</sub>,y<sub>2</sub>) where x<sub>1</sub>≠ x<sub>2</sub>, the slope is m = ( y<sub>2</sub> - y<sub>1</sub> ) / ( x<sub>2</sub> - x<sub>1</sub> )</p> <p>If the slope is positive, the line rises from left to right. If the slope is negative, the line falls from left to right. If the slope is zero, the line is horizontal. If the slope is undefined, the line is vertical.</p> <h2>Point-Slope Form of a Line</h2> <p>The equation of the non-vertical line passing through the points (x<sub>1</sub>,y<sub>1</sub>) and (x<sub>2</sub>,y<sub>2</sub>) and having slope m is given by the equation:</p> <p>y - y<sub>1</sub> = m ( x - x<sub>1</sub> )</p> <p>Which point you call point 1 and which point you call point 2 does not

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## This note was uploaded on 10/18/2011 for the course MAT 1033 taught by Professor Brown during the Spring '10 term at Valencia.

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1.2 - Lines in the Plane -

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