Question

How are lines KL and MN related​

Answer 1

The lines KL and MN perpendicular to each other.

Explanation:

If a line passes through two points, then the slope of the line is

`m=(y_2-y_1)/(x_2-x_1)`

From the given graph it is clear that coordinates of points on line KL are K(-8,2) and L(6,2).

The slope of line KL is

`m_1=(2-2)/(6-(-8))=0`

The slope of line KL is 0, it means it is a horizontal line.

From the given graph it is clear that coordinates of points on line MN are M(-4,8) and N(-4,-6).

The slope of line MN is

`m_2=(-6-8)/(-4-(-4))=(1)/(0)`

The slope of line MN is 1/0 or undefined, it means it is a vertical line.

We know that vertical and horizontal lines are perpendicular to each other. Therefore the lines KL and MN perpendicular to each other.

Answer 2

They are straight and are perpendicular