Two lines are said to be mutually perpendicular when the angle between them is 90 deg. or the tangent of the angle between them is infinity . (since tan 90 = infinity)
slope of x-axis is m1 = 0
slope of y-axis is m2 = infinity
Now if angle between x and y axis is 0, then tan0 =( m1+m2)/(1-m1.m2)
=( 0+inf.)/1-0.inf)
= inf./1
=inf.
therefore x and y axis are perpendicular to each other .