paralell means has same slope
perpendicular has slopes that multiply to -1
the slopes
for
ax+by=c, slope is -a/b
y=mx+b, slope=m
3x-2y=16, slope=-3/-2=3/2
y=-2/3x+4, slope=-2/3
3/2≠-2/3, so not paralell
try multiplying them
-6/6=-1
perpendicular
they are perpendicular
