y = 2/3 x + 1
y = -3/2 x + 7
The slopes are 2/3 and -3/2.
The second slope is the negative reciprocal
of the first. By definition, the lines
are perpendicular.
Problem statement: y=2/3x+1 and y=-3/2x+7
decide if the lines are parallel,perpendiclar,or neither