Question

find the slope and the y intercept for the line whose equation are
1. ax+by+c=0
2. x/a+y/b=1
3. 2x-7y=13

Answer 1

as, y=mx+c, where m =  slope and c = Y-intercept
2x-7y=13
⇒y=2x/13+(-13)/7
so , slope =2/13 and Y- intercept =(-13)/7

Answer 2

1. Ax+by+c=0 ...………………………………… ................ …….........……. Ax+c=-b................... -by=ax+CC................ Y= (a/-b )x+(c/-b)................... Y intercept is c/-b.... 2.(x/a)(y/b)=1....................... - (X/a)+1=y/bb............... y/b=-x/a+1................... Y=-x+b/a +1+bb....... 3.2x-7y=13............ 2x-13=7y............. 7y=-2x-13/7............... Y=2/7x-13/7 ............... Y intercept -13/7