A line in x-y coordinate system goes through the origin and point (a,b), is a < b?
1) slope < 0
2) a < 0
1) slope < 0
2) a < 0
For a line passing through the point (0,0) and (a,b), the slope is given by
m = (b-0)/(a-0) = b/a
1. slope < 0 : m<0 : b/a <0
- b is nagative, or
- a is nagative.
insufficient.
2. a<0 , we dont know the value of B.
combining both : a<0 so b > 0 and hence b>a, sufficient.
Hope this helps !!
