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Chapter 2-2 Notes - Page 1 of 2 Math 1332 College...

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Page 1 of 2 Source: College Mathematics , Rockswold G., Bennett J., and Briggs W. C:/CLASES_COLEGIO/2007/NOTAS/0102/ 01/12/07 Math 1332 - College Mathematics Chapter 2-2 Notes Equations of Lines Today, we discuss how equations of lines can be determined and some of their applications. Point-Slope Form of the equation of a line – line with slope m passing through the point (x 1 ,y 1 ) y = m (x – x1) + y1 , or y - y1 = m (x – x1) Ex: Slope-Intercept Form of the equation of a line – line with slope m and y-intercept b is given by y = mx + b Ex: Standard Form of the equation of a line – indicated as ax + by = c , where a , b , and c are constants. Ex: Recall how to find x- and y-intercepts : x-intercepts (x,0) Æ let y = 0 in the equation and solve for x y-intercepts (0,y) Æ let x = 0 in the equation and solve for y Ex: Horizontal, Vertical, Parallel, and Perpendicular Lines Equation of horizontal lines - y = b , horizontal line with y-intercept b and slope ( m ) = 0 Equation of vertical lines - x = k , vertical line with x-intercept k and slope ( m ) is undefined Ex:
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