The problem asks to find the slope of $ZW$ and the slope of $YX$. We are given a quadrilateral $WXYZ$ on a coordinate plane. We need to extract the coordinates of the points $Z$, $W$, $Y$, and $X$ from the graph and use them to calculate the slopes of segments $ZW$ and $YX$.

1. Problem Description

The problem asks to find the slope of $ZW$ and the slope of $YX$. We are given a quadrilateral $WXYZ$ on a coordinate plane. We need to extract the coordinates of the points $Z$, $W$, $Y$, and $X$ from the graph and use them to calculate the slopes of segments $ZW$ and $YX$.

2. Solution Steps

First, identify the coordinates of the vertices $Z$, $W$, $Y$, and $X$ from the graph:

$Z = (-6, 8)$

$W = (6, 8)$

$Y = (-3, -3)$

$X = (3, -3)$

Next, calculate the slope of $ZW$ using the formula:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m_{ZW} = \frac{8 - 8}{6 - (-6)} = \frac{0}{12} = 0$

Then, calculate the slope of $YX$ using the same formula:

$m_{YX} = \frac{-3 - (-3)}{3 - (-3)} = \frac{0}{6} = 0$

3. Final Answer

Slope of $ZW$: 0

Slope of $YX$: 0