Question

explain the relationship between the equations of perpendicular lines.

Answer 1

The relationship between perpendicular lines lies in there slopes. The slope of one line is the opposite reciprocal of the other.

Written mathematically, the lines y=m*x +b and y =(-1/m)*x +c are perpendicular lines (note the y-intercepts do not need to be equal or even related to each other).

Answer 2

Their slopes are rciprocal to one another