On a coordinate plane, 2 lines are shown. Line M N goes through (negative 4, 8) and (negative 4, negative 6). Line K L goes through (negative 8, 2) and (6, 2).

Question

How are lines KL and MN related?

The lines intersect at point K.
The lines are parallel.
The lines are perpendicular.
The lines do not have slopes.

Answer 1

To determine how lines MN and KL are related, we need to analyze their slopes.

Line MN goes through the points \((-4, 8)\) and \((-4, -6)\). Since both points have the same x-coordinate, the line is vertical. Vertical lines do not have a defined slope.

Line KL goes through the points \((-8, 2)\) and \((6, 2)\). Since both points have the same y-coordinate, the line is horizontal. Horizontal lines also do not have a defined slope.

Since one line is vertical and the other is horizontal, they are perpendicular to each other.

Therefore, the relationship between lines KL and MN is:

The lines are perpendicular.