Tell if the following pair of lines is parallel, perpendicular or neither.

3x - 2y = 16

y = - 2/3x + 4

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

3x - 2y = 16

2y = 3x - 16

y = 3/2x - 16/3 slope = 3/2

compare with y = - 2/3x + 4 slope = - 2/3

answer: perpendicular