Determine whether PQ and UV are parallel, perpendicular, or neither.
1.P(-3,-2), Q(9,1), U(3,6), V(5,-2)
2.P(-10,7), Q(2,1), U(4,0), V(6,1)
3.P(1,1), Q(9,8), U(-6,1), V(2,8)
4.P(-4,0), Q(0,3), U(-4,-3), V(8,6)
5.P(-9,2), Q(0,1), U(-1,8), V(-2,-1)

The answer is below

Step-by-step explanation:

The slope of a line (m) is given by:

Two lines are parallel if they have the same slope and perpendicular if the product of their slope is -1.

1)

Since the product of their slope is -1, they are perpendicular

2)

Since the slope is not the same or product of their slope is not -1, they are neither parallel or perpendicular

3)

Since the slopes are the same, they are parallel

4)

Since the slopes are the same, they are parallel

5)

Since the product of their slope is -1, they are perpendicular

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x