For what values of a and b the intercepts cut off on the coordinate axes by the line ax + by + 8 = 0 are equal in length but opposite in signs to those cut off by the line 2x – 3y + 6 = 0 on the axes.
Given equation is ax+by+8=0 or ax+by= -8
Now dividing by-8 to both sides
So the intercepts are and
Now, the second equation which is given is 2x-3y+6=0 or 2x-3y=-6
Dividing by-6 on both sides
So, the intercepts are-3 and 2
Now, according to the question and
and