64.] THE .S-/-/M /'./// /./.vjp 



if /f- -(^| + # :' equa- 



f By-(Ar, + Jty,)-0. . (2) 



*- 



wherein tho sign <>f ih,- i.i.li.-.il in to be chosen opposite to 

 f the number represented by C , 



If tin? equation of the tfiv-n line is >.i written that its 

 second member is zero, this formula may be translated int.. 

 won Is thus : To get the distance of a given point from a given 

 write the firtt member of the equation alone, tubttituie 

 tke variable* ft- ittt of the given j> 



divide the retult by the tquare root of the mm of th, 

 of the coefficient* of x and ' equation* the 



of this square root being chosen opposite to that of 

 number represented l>y C. 



i formula [I*.]. / Ki ; -:ive, then Pi>p r and P l 

 the origin are on opposite sides of the given lin- 

 is negative, p^<p^ and P l and the origin are on the 

 side of the ^m-n line. 



EXERCISES 

 1. Kind the disUnoe of the point (J. 7) from the line 3r-6y + l =o. 



'\:. 



lib result, besiden giving the numerical value of the distance, shows 

 that the point (2, -7) and the origin are on the same side of the 

 3x-6y+l =0. 



1 the distance of the point ( I, r>) from the line 4 y + 5 * - JO. 

 Find the distance of the po ; y - -jx 



