https://file.aiquickdraw.com/mathbot/file/1729564855030z68q499i.jpg

The graph you've provided shows a straight line and asks for the slope, using the \( y \)-intercept and the highlighted dot.

### Step 1: Identify key points
- The **y-intercept** occurs where the line crosses the \( y \)-axis. From the graph, this is at \( (0, -400) \).
- The **highlighted point** is located at approximately \( (60, 1200) \).

### Step 2: Calculate the slope
The formula for slope \( m \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Here:
- \( (x_1, y_1) = (0, -400) \)
- \( (x_2, y_2) = (60, 1200) \)

Substitute the values into the formula:

\[
m = \frac{1200 - (-400)}{60 - 0} = \frac{1200 + 400}{60} = \frac{1600}{60} \approx 26.67
\]

So, the slope of the line is approximately **26.67**.

Let me know if you would like further clarification or details! Here are some related questions:

1. How does the slope affect the steepness of the line?
2. What does a positive slope indicate about the direction of the line?
3. Can the slope be zero? What would that look like?
4. How would you calculate the slope if given two points with different coordinates?
5. What would happen to the slope if the points were reversed?

**Tip:** Always check the coordinates of key points (such as the y-intercept and a specific point) carefully when calculating the slope.

What is the slope? Use the y-intercept and the highlighted dot.

Learn how to find the slope of a line using the y-intercept and a point on the graph. This problem uses the slope formula and covers key concepts from algebra and coordinate geometry, suitable for students in Grades 8-10.

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