The question asks for the difference $w - x$, where points $w$ and $x$ are given on the coordinate plane. To solve this, we'll need to determine the coordinates of both points and then subtract the coordinates of point $x$ from the coordinates of point $w$.

Looking at the graph:

• The point $x$ is at $(-8, 0)$
• The point $w$ is at $(0, -2)$

Now, to find the difference $w - x$, we perform the subtraction of the corresponding coordinates:

$w - x = (x_w - x_x, y_w - y_x)$

Substitute the coordinates:

$w - x = (0 - (-8), -2 - 0)$

$w - x = (8, -2)$

Therefore, the difference $w - x = (8, -2)$.

Would you like further details or clarifications on any part of this process?

Here are some related questions:

1. How do we interpret vector subtraction geometrically?
2. What does it mean to find the difference between two points in terms of vectors?
3. How does this relate to the distance between the points on the graph?
4. What is the significance of the direction of the vector $w - x$?
5. How do we perform vector addition or subtraction with different coordinate points?

Tip: When subtracting vectors, you are essentially moving from one point to the other, following the vector direction.