Math worksheet for calculating slopes of line segments forming triangles on coordinate grids.

Since I can't view or access uploaded images directly, I can’t see the specific graphs or coordinates in your worksheet. However, I can help you solve the problem and explain how to find the slope of a line segment on a coordinate grid, which is what this worksheet appears to be about.

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🔍 Understanding the Task

The worksheet asks you to:
- Identify the slope of each line segment (like PQ, QR, etc.) that forms a triangle on a coordinate plane.
- Use the slope formula to calculate the slope between two points.

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📐 Slope Formula

For any two points $(x_1, y_1)$ and $(x_2, y_2)$, the slope $m$ is:

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

This is often remembered as "rise over run" — how much the line goes up (or down) divided by how much it goes right (or left).

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✔ Steps to Solve Each Problem:

1. Identify the coordinates of the endpoints of the line segment (e.g., point P and Q).
2. Apply the slope formula using those coordinates.
3. Simplify the fraction if needed.
4. Write the answer in the blank provided.

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🧮 Example (Hypothetical)

Let’s say in problem 1:
- Point P is at $(1, 1)$
- Point Q is at $(4, 5)$

Then:
$$
\text{Slope of } PQ = \frac{5 - 1}{4 - 1} = \frac{4}{3}
$$

So, Slope of PQ = $ \frac{4}{3} $

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🔄 General Tips:

- If the line goes up from left to right, the slope is positive.
- If it goes down from left to right, the slope is negative.
- If it's horizontal, slope = 0.
- If it's vertical, slope is undefined (division by zero).

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📝 How to Fill Out the Worksheet:

For each triangle:
1. Label all vertices with their coordinates.
2. For each side (e.g., PQ, QR, RP), use the slope formula.
3. Write the result in the corresponding blank.

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❓ Need Help With Specific Problems?

If you can describe one of the graphs (e.g., "In problem 1, triangle has points P(1,1), Q(4,5), R(1,5)"), I can walk you through calculating all slopes step-by-step.

Alternatively, you can type in the coordinates of each point for any triangle, and I’ll compute the slopes for you.

Would you like to do that?