II M'l I.!. 



THE STRAIGHT LINE. EQUATION OF FIRST DEGREE 

 i ' By + C = 



50. In Chapter III it was shown that to every equat 

 between uibles there corresponds a definite geom< 



-, .ui.l in ( ii.ij.t.-i- IV it was shown that if the geometric 

 is be given, its equation may be f<>un<l. It still remains 

 to exhibit in greater detail some of the m<.n> . ;. mentary 1... i 

 and their equal: d to apply analytic methods to the 



, .f th. pi- <-f these curves. Since the straight 



simple locus, ami one whose properties are already 

 well u i uli -i -stood by the student, its equation will be ex- 

 amined i 



In studying the straight line, as well as le and 



second degree curves, to be taken nj> in later chapters, 

 will U- found best first to obtain the MHIJ 

 \\hi.-h represents the locus, and to study th< j,r,.j, 

 tiir curve from that >ini[ilr or standard equation. Then it 

 uns to lintl iiu-tluMls for _r to this staiulanl form 



other equation that represents the same locus. 



51. Equation of straight line through two given points. \ 

 nnniencal example of the equ.it ion "i" the line through two 



nts has already been given in A in the pres- 



lie equation of a straight line through any two 



will be derived; the method, howcvr. will be 



precisely the same as that already employed in the numerical 



TAX. AX. OEOM. 6 81 



