Answer:
The lines KL and MN perpendicular to each other.
Step-by-step explanation:
If a line passes through two points, then the slope of the line is
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
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=\frac{2-2}{6-(-8)}=0](https://tex.z-dn.net/?f=m_1%3D%5Cfrac%7B2-2%7D%7B6-%28-8%29%7D%3D0)
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=\frac{-6-8}{-4-(-4)}=\frac{1}{0}](https://tex.z-dn.net/?f=m_2%3D%5Cfrac%7B-6-8%7D%7B-4-%28-4%29%7D%3D%5Cfrac%7B1%7D%7B0%7D)
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.