till >//;.!/'./// / 7.VJP 



60. Special cases of the equation of the straight line 

 Ax + By + C O. This equation, written in the intercept 

 M 1 -I hecomes 



A B 



If in e<{ made smaller and smaller in com- 



\\ith f. then the .r-intercept (- beOOOfeM IftJgW 



larger; if X in comparison \\ith C'. the ^-intercept 



infinit. 1\ larje. the line < 1 ) IM-, -uines parallel to the 

 ami its equation becomes 



tf C 



rhich agrees with the t <>.,(. note of Art. 57. 

 Similarly, if // in comparison \\ith C', the line (1) be- 

 parallel to the y-axis, and its equation Incomes 



i 



If both yl and B approach zero simultaneously in .-mpari- 

 \\itli (\ then liuth the intercepts become imletinitely 

 and the line (1) recedes farther and farther from the 



In a< - with what has just been said, a line that is 



holly at inlinitv mi^ht have its equation written in the 



inn +0-y+ C-0, . 



as it is sometimes written, C 0; . ( ' 



it eqi nid (8) are merely abbreviations for the 



lenient : - As U.th .1 and /i approach /ero in comparison 



lie line mo\e- farther and farther from the origin." 



