# 2.3 Lines - 2.3: Lines

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2.3: Lines The  slope ( m )  of a line is the average rate of change of  y  with respect to x.  It can be expressed  as:   m  =  Rise Run y y x x change in y change in x y x = - - = = 2 1 2 1  for nonvertical lines. Equations of lines:    Vertical lines x = a , where  a  is the  x -intercept.  Horizontal lines y =  b , where  b  is the  y -intercept.  Point-slope form:  y – y 1  =  m(x – x 1 )  where  m  is the slope of the  line passing through  (x 1 , y 1 ).    Slope-intercept form:   y = mx + b , where  m  is the slope and  b  is  the  y -intercept of the line.   General Form of the equation of a line Ax + By = C , where  A,  B ,  and  C  are real numbers and  A  and  B  are not both zero. Intercepts: The  x -intercept  is the point ( x , 0) where the line crosses the x-axis; it can be  found by substituting 0 or  y  and solving for

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## This note was uploaded on 01/04/2012 for the course MAC 1105 taught by Professor Staff during the Fall '08 term at Miami Dade College, Miami.

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2.3 Lines - 2.3: Lines

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