The slope - intercept form of two line equations are
.
The above two lines are parallel, so their slopes are same.
\Therefore
.
The slope - intercept form of line equation
is perpendicular to the the above two line equations. \ \
The lines are perpendicular, so their slopes are negative reciprocals.
Therefore slope of perpendicular line is
.
The slope - intercept form of two parallel lines are
and the slope - intercept form of perpendicular line is
.