https://file.aiquickdraw.com/mathbot/file/172557133547626tz3swy.jpg

It looks like you've uploaded an image of a graph and some questions. Let me extract and analyze the content.

### Content Breakdown:
- **Graph:** The image shows a scatter plot with points and a best-fit line (trend line). It seems to represent some form of relationship between two variables (perhaps time and usage, or something similar).
  
- **Questions:** There are three questions beside the graph:
  1. **"What is the y-intercept of the line?"**
  2. **"What is the slope of the line?"**
  3. **"What is the equation of the line in slope-intercept form?"**

### Step-by-Step Solution:

1. **Y-intercept:** The y-intercept is where the line crosses the y-axis (when \( x = 0 \)). From the graph, it seems to cross the y-axis at \( y = 2 \).
   
2. **Slope:** The slope is calculated as the change in \( y \) divided by the change in \( x \) between two points on the line. Let's take two points from the graph and calculate:
   - Point 1: \( (0, 2) \)
   - Point 2: \( (2, 3) \)
   
   The slope is \( \frac{\Delta y}{\Delta x} = \frac{3 - 2}{2 - 0} = \frac{1}{2} \).

3. **Equation of the Line:** The equation of a line in slope-intercept form is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
   - From the previous steps, we know:
     - \( m = \frac{1}{2} \)
     - \( b = 2 \)
   
   Thus, the equation is \( y = \frac{1}{2}x + 2 \).

### Final Answers:
1. **Y-intercept:** 2
2. **Slope:** \( \frac{1}{2} \)
3. **Equation:** \( y = \frac{1}{2}x + 2 \)

Would you like more details or have any questions?

Here are 5 follow-up questions:
1. How is the slope of a line affected by steepness?
2. Can the slope of a line be negative, and what does that mean?
3. What happens to the equation if the y-intercept is at 0?
4. How would you find the slope if the points on the graph were decimals?
5. How can this method be used to analyze real-world data trends?

**Tip:** When calculating the slope, choosing two points far apart on the line helps reduce small errors in reading values from the graph.

What is the y-intercept of the line?
What is the slope of the line?
What is the equation of the line in slope-intercept form?

Learn how to find the y-intercept, slope, and equation of a line from a graph with this step-by-step solution. The example covers key algebraic concepts such as calculating the slope and interpreting the y-intercept, using the slope-intercept form of a line. Suitable for students in Grades 8-10.

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