Math worksheet featuring six coordinate plane graphs where students calculate the slope using the rise over run method.

Since I can't view or access images directly, I can't see the specific graphed lines in your uploaded image. However, I can help you solve the problem and explain how to find the slope of a line from a graph.

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🔷 How to Find the Slope of a Line from a Graph

The slope of a line is a measure of how steep it is. It's calculated using the formula:

$$
\text{Slope} = \frac{\text{Rise}}{\text{Run}} = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}
$$

Where:
- Rise = change in $ y $ (vertical change)
- Run = change in $ x $ (horizontal change)

You can pick any two points on the line, plug them into the formula, and compute the slope.

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✔ Steps to Solve Each Problem:

1. Identify two points on the line (preferably where the line crosses grid lines).
2. Use the slope formula:
$$
m = \frac{y_2 - y_1}{x_2 - x_1}
$$
3. Simplify the fraction if needed.
4. Write the slope as a number (positive, negative, zero, or undefined).

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📌 Common Types of Slopes:

| Type | Example | Description |
|------|--------|-------------|
| Positive | $ m = 2 $ | Line goes up from left to right |
| Negative | $ m = -1 $ | Line goes down from left to right |
| Zero | $ m = 0 $ | Horizontal line |
| Undefined | $ m = \text{undefined} $ | Vertical line |

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🔍 Let’s assume the graphs look like this (based on typical problems):

#### 1. Line going through (0,0) and (2,2)
$$
m = \frac{2 - 0}{2 - 0} = \frac{2}{2} = 1
$$
✔ Slope = 1

#### 2. Line going through (0,3) and (3,0)
$$
m = \frac{0 - 3}{3 - 0} = \frac{-3}{3} = -1
$$
✔ Slope = -1

#### 3. Line going through (0,2) and (2,-2)
$$
m = \frac{-2 - 2}{2 - 0} = \frac{-4}{2} = -2
$$
✔ Slope = -2

#### 4. Line going through (0,1) and (1,3)
$$
m = \frac{3 - 1}{1 - 0} = \frac{2}{1} = 2
$$
✔ Slope = 2

#### 5. Line going through (0,4) and (4,0)
$$
m = \frac{0 - 4}{4 - 0} = \frac{-4}{4} = -1
$$
✔ Slope = -1

#### 6. Line going through (0,0) and (3,3)
$$
m = \frac{3 - 0}{3 - 0} = \frac{3}{3} = 1
$$
✔ Slope = 1

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📝 Final Answer Format (Example):

> 1. Slope = 1
> 2. Slope = -1
> 3. Slope = -2
> 4. Slope = 2
> 5. Slope = -1
> 6. Slope = 1

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⚠️ Note: These are example answers based on common graph types. To get the exact answer, please describe the coordinates of two points on each line, or confirm the graph details.

If you can describe each graph (e.g., “Line passes through (0,0) and (4,2)” or “Line goes from top-left to bottom-right”), I can give you the exact slopes!