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To solve the problem and determine the slopes of the lines, we will apply the slope formula: 

\[
\text{slope} = \frac{{\Delta y}}{{\Delta x}} = \frac{{y_2 - y_1}}{{x_2 - x_1}}
\]

This formula calculates the rate of change between two points on the line. The slope represents how much \( y \) changes for each unit change in \( x \).

Let's analyze each graph to determine the slopes.

### Graph 1:
1. The line is increasing, and by inspecting the grid, we can see it rises 1 unit up for every 1 unit to the right. This gives a slope of:
   \[
   \text{slope} = \frac{1}{1} = 1
   \]

### Graph 2:
2. The line is also increasing, and the rise is 2 units up for every 1 unit to the right. This gives a slope of:
   \[
   \text{slope} = \frac{2}{1} = 2
   \]

### Graph 3:
3. The line is decreasing, and it falls 1 unit down for every 2 units to the right. This gives a negative slope of:
   \[
   \text{slope} = \frac{-1}{2} = -\frac{1}{2}
   \]

### Final Results:
- **Graph 1:** Slope = 1
- **Graph 2:** Slope = 2
- **Graph 3:** Slope = -1/2

Would you like further details or clarifications?

### Related Questions:
1. How can you calculate the slope if given two points on a line?
2. What does a slope of zero represent in terms of a line's appearance?
3. How can negative slopes be interpreted in real-world contexts?
4. How does the slope affect the angle of inclination of a line?
5. What is the significance of the slope in linear equations?

**Tip:** A positive slope indicates a line that rises as you move to the right, while a negative slope indicates a line that falls.

Use the provided gridlines to find the slopes of the lines graphed below.

Learn how to find the slopes of lines using provided gridlines in this algebra problem. This problem covers key concepts like the slope formula and the geometric interpretation of slope, suitable for Grades 7-10.

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