..1 I 



// /.MA: 



M 



52 Equation of straight line in terms of the intercepts 

 which it makes on the coordinate axes. If the tu 



i . , 



poii e those in which the line cuU the axes 



, '.., Am (o,0) and a(0,6) (Fig. 41), then 



equation [ :] !.<. mm ^ 







i, 



[10] 



where a and b are the intercepts which tl*c line cut* from 



th- ;i\ s. 



is another stain Ian 1 form of the equation of the 

 _ r ht line; it is known as the symmetrical or the inter- 

 cept form. 



;>:. [ 10] may also IK? derived independently of equa- 



("| tl whose equation 



be found, cut the axes at th<> points /i==(a, 0) and 



B = (0, A), ami let P = (x*y) be any other point on this 



/'; then 



area OPE + area OAP = area OAB ; 



tit.it is, l>jr + \ay = \ab, 



T H 



dividing by | <iA, this equation becomes - + ^1, as 

 afore, 



EXERCISES 



1 B -quntion [In ,, not naiisfied by the coordinates of any 



except lhu' lyinp on .!/ \ 



