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
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
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
[tex]m_1=\frac{2-2}{6-(-8)}=0[/tex]
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
[tex]m_2=\frac{-6-8}{-4-(-4)}=\frac{1}{0}[/tex]
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.
