https://file.aiquickdraw.com/mathbot/file/1730476528014mimtodo4.jpg

To determine the slope of the line and interpret what it means, let's analyze the points given on the graph.

### Step 1: Find the Slope
The slope (\( m \)) is calculated using the formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
where:
- Point 1 \((x_1, y_1) = (2, 4)\)
- Point 2 \((x_2, y_2) = (5, 10)\)

Substitute the values:
\[
m = \frac{10 - 4}{5 - 2} = \frac{6}{3} = 2
\]

So, the **slope of the line is 2**.

### Step 2: Interpret the Slope
The slope here represents the rate at which Jan completes laps. Since the slope is 2, this means that Jan runs **2 laps every 1 minute**.

### Completing the Statements
- **The slope of the line is:** 2.
- **This means that Jan runs:** 2 laps every **1 minute**.

Would you like a detailed explanation of how slope relates to rate, or do you have any other questions?

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Here are 5 related questions for further understanding:

1. What does it mean if the slope of a line is negative in a similar context?
2. How would the graph change if Jan ran 3 laps every minute?
3. How is slope used to predict future values in a situation like this?
4. What are other real-life examples where slope can represent rate?
5. How can you calculate the slope if given only a graph without exact points labeled?

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**Tip:** In a graph where time is on the x-axis, the slope often represents speed or rate, showing how much the y-value changes per unit of time.

This graph shows the number of laps that Jan runs as her coach times her. What is the slope of the line and what does it mean in this situation? Select from the drop-down menus to correctly complete each statement.

Determine the slope from a graph showing Jan's running laps over time. Learn to calculate the slope as the rate of change and interpret its meaning in a real-world context, suitable for students in Grades 6-8.

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