https://file.aiquickdraw.com/mathbot/file/1727065957059sdcjz1ap.jpg

From the graph, we can observe the following:

1. **Y-intercept**: The line crosses the y-axis at \( (0, 1) \).
   
2. **Slope (m)**: To find the slope, we use two points on the line. For instance:
   - Point 1: \( (0, 1) \)
   - Point 2: \( (-2, 2) \)

   The slope formula is:
   \[
   m = \frac{y_2 - y_1}{x_2 - x_1}
   \]
   Plugging in the points \( (0, 1) \) and \( (-2, 2) \):
   \[
   m = \frac{2 - 1}{-2 - 0} = \frac{1}{-2} = -\frac{1}{2}
   \]

3. **Equation**: Using the slope-intercept form \( y = mx + b \), where \( b \) is the y-intercept:
   \[
   y = -\frac{1}{2}x + 1
   \]

### Final Results:
- **Slope**: \( -\frac{1}{2} \)
- **Y-intercept**: \( (0, 1) \)
- **Equation**: \( y = -\frac{1}{2}x + 1 \)

Would you like further details or have any questions?

Here are 5 related questions to explore:
1. How do you find the slope when given two points?
2. What is the importance of the y-intercept in the graph of a line?
3. Can a line have an undefined slope? What does it represent?
4. How do you convert between different forms of linear equations (e.g., slope-intercept to standard form)?
5. How does the slope affect the steepness and direction of a line?

**Tip**: A negative slope indicates that the line decreases as it moves from left to right.

Find the slope, y-intercept, and equation of a line based on the given graph.

This tutorial explains how to find the slope, y-intercept, and equation of a line based on the graph. Using the slope formula and slope-intercept form, we calculate the equation y = -1/2x + 1.

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