Jefferson Powell - Topographic Map Reading Worksheet.pdf - Name ... - Free Printable

It looks like you've uploaded an image containing a math problem, but the text in the image is not fully legible or clear. However, based on the visible text and context, I can infer that this is likely a coordinate geometry problem involving plotting points on a coordinate plane and determining directions or distances.

Let me reconstruct and solve the problem based on what's readable:

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Problem (Reconstructed):

You are given two points:
- Point A: $(-2, 0)$
- Point B: $(3, 4)$

Then, it says:
> "They will walk [direction], [distance]."

And later:
> "The y-axis is vertical. The x-axis is horizontal."

There’s also mention of:
- "A person walks from point A to point B."
- "What is the direction of the walk?"
- "What is the distance walked?"

Additionally, there's a mention of "horizontal" and "vertical" axes.

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Step-by-step Solution:

#### 1. Find the Direction of the Walk

We are moving from point A $(-2, 0)$ to point B $(3, 4)$.

To determine the direction, we look at the change in coordinates:

- Change in x: $ \Delta x = 3 - (-2) = 5 $ → positive, so movement is to the right (east)
- Change in y: $ \Delta y = 4 - 0 = 4 $ → positive, so movement is upward (north)

So, the direction is northeast.

But more precisely, since both x and y increase, the direction is northeast, or more specifically, north-east.

Hence, the answer to “They will walk” is:
> Northeast

#### 2. Find the Distance Between the Points

Use the distance formula:
$$
\text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
$$

Plug in values:
$$
= \sqrt{(3 - (-2))^2 + (4 - 0)^2} = \sqrt{(5)^2 + (4)^2} = \sqrt{25 + 16} = \sqrt{41}
$$

So, the distance is $ \sqrt{41} $ units (approximately 6.4 units).

But if the question expects a numerical value, perhaps rounded?

However, based on your image, it seems like the answer might be expected as "Northeast" for direction and possibly "5 units east, 4 units north" or just "Northeast".

Also, one line says:
> "They will walk Diagonally Northeast"

That suggests the answer is diagonally northeast, which matches our analysis.

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Final Answer:

✔ They will walk diagonally northeast.

This is because:
- The x-coordinate increases by 5 → east
- The y-coordinate increases by 4 → north
- So, the path is diagonal in the northeast direction.

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If there were additional parts (like calculating slope or angle), let me know — but based on the visible text, this is the most complete solution possible.

Would you like me to interpret any other part of the image?