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.

Explanation:

Step1: Analyze line KL

Line KL is a horizontal line. A horizontal line has a slope of 0. For any two points on line KL, the change in the y - values ($\Delta y$) is 0. Using the slope formula $m=\frac{\Delta y}{\Delta x}$, if $\Delta y = 0$, then $m_{KL}=0$.

Step2: Analyze line MN

Line MN is a vertical line. A vertical line has an undefined slope. For any two points on line MN, the change in the x - values ($\Delta x$) is 0. Using the slope formula $m=\frac{\Delta y}{\Delta x}$, when $\Delta x = 0$, the slope $m_{MN}$ is undefined.

Step3: Determine the relationship

A horizontal line and a vertical line are perpendicular to each other.

Answer:

The lines are perpendicular.