https://file.aiquickdraw.com/mathbot/file/1727045707742iuwiowm8.jpg

To find the slope of the line in this graph, we need to use the formula for slope:

\[
\text{slope} = \frac{\text{change in } y}{\text{change in } x} = \frac{\Delta y}{\Delta x}
\]

The \( y \)-axis represents the "Position (km)" and the \( x \)-axis represents "Time (s)".

### Step-by-Step Process:

1. From the graph, we can identify two clear points:
   - At \( t = 0 \) seconds, position \( = 0 \) km.
   - At \( t = 5 \) seconds, position \( = 1.25 \) km.

2. Now calculate the change in position (\( \Delta y \)) and the change in time (\( \Delta x \)):
   \[
   \Delta y = 1.25 \text{ km} - 0 \text{ km} = 1.25 \text{ km}
   \]
   \[
   \Delta x = 5 \text{ s} - 0 \text{ s} = 5 \text{ s}
   \]

3. Using the slope formula:
   \[
   \text{slope} = \frac{1.25 \text{ km}}{5 \text{ s}} = 0.25 \text{ km/s}
   \]

Thus, the slope of the line is **0.25 km/s**.

Would you like further details on any part of this solution? Here are 5 related questions you might explore:

1. How does the slope of a line relate to velocity in a position-time graph?
2. What would happen if the slope was negative in this type of graph?
3. How can we determine average velocity from a position-time graph?
4. How would the graph look if the object was at rest for some time?
5. What other types of motion could be represented on a position-time graph?

**Tip**: The steeper the slope in a position vs. time graph, the faster the object's velocity!

What is the slope of the line in the following graph?

Learn how to find the slope of a line in a position vs. time graph with a step-by-step guide. The problem involves understanding the slope formula and interpreting graph data. Suitable for middle school students in Grades 6-8.

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