Precalc0011to0016-page28

Precalc0011to0016-page28 - of this line, since any point on...

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(Section 0.14: Lines) 0.14.7 Two distinct points determine a line. • In other words, given two different points, exactly one line can pass through them. Example 1 (Finding Forms of the Equation of a Line) Find the Slope-Intercept Form of the equation of the line passing through the points ± 4, 5 () and 2, ± 6 () . § Solution Find m , the slope of the line: m = ± y ± x = ² 6 ² 5 2 ²² 4 () = ² 11 6 Method 1 (First Find a Point-Slope Form) Either of the two given points may be used as our “point.” TIP 2 : There are infinitely many Point-Slope Forms for the equation
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Unformatted text preview: of this line, since any point on the line can be used as our “point.” However, the Slope-Intercept Form is unique , because a nonvertical line has only one slope and one y-intercept. Let’s use the first given point, ± 4,5 ( ) . y ± y 1 = m x ± x 1 ( ) Point-Slope Form ( ) y ± 5 = ± 11 6 x ± ± 4 ( ) ( ) We now solve for y and write the equation in Slope-Intercept Form , y = mx + b ....
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This document was uploaded on 12/29/2011.

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