Question

Determine the relation of AB and CD given the following points: A (3, -4), B (5, -7), C (8, 3), and D (6, 6).

A) parallel
B) perpendicular
C) coinciding
D) neither

Answer 1

The answer is A: parallel

Explanation:

Answer 2

To find the relationship between the given lines, we have to find the slope of both lines using slope formula, which is

`m = ( y_(2) -y_(1))/(x_(2) - x_(1))`

So for AB, we will get

`m=(-7+4)/(5-3)=-(3)/(2)`

And for CD , we will get

`CD = (6-3)/(6-8)= -(3)/(2)`

Since the slopes of the two lines are equal , and when slopes are equal , lines are parallel .

Correct option is A .