https://file.aiquickdraw.com/mathbot/file/1729557980186xzkvc7li.jpg

The graph shown in your image depicts "Marta's Elevator Ride," where the vertical axis (y-axis) represents the "Floor Number," and the horizontal axis (x-axis) represents the "# of Seconds."

### Step 1: Determine the Slope
The slope (m) of a line is calculated by the formula:
\[
m = \frac{\text{change in } y}{\text{change in } x} = \frac{\Delta y}{\Delta x}
\]
From the graph:
- The line starts at Floor 9 at 0 seconds and reaches Floor 7 at 4 seconds.
Thus, the change in \(y\) (floor number) is:
\[
\Delta y = 7 - 9 = -2
\]
And the change in \(x\) (time in seconds) is:
\[
\Delta x = 4 - 0 = 4
\]
Thus, the slope is:
\[
m = \frac{-2}{4} = -\frac{1}{2}
\]
So the slope is \( -\frac{1}{2} \), which is already provided in the image.

### Step 2: Interpret the Rate of Change
The slope represents the rate at which Marta is changing floors per second. A slope of \( -\frac{1}{2} \) means that Marta goes **down 1 floor every 2 seconds**.

The correct interpretation would be:
- **Marta goes down 1 floor every 2 seconds.**

### Answer to the Multiple-Choice Question
The correct choice is:
- Marta goes **down 1 floor every 2 seconds**.

Would you like a more detailed explanation, or do you have any questions?

### Related Questions
1. What would the slope be if Marta went up 1 floor every 2 seconds instead?
2. How would the graph look if Marta went down 3 floors every second?
3. What does a positive slope represent in the context of Marta's elevator ride?
4. If Marta stopped at a floor for 3 seconds, how would that be reflected in the graph?
5. What would the slope be if Marta went down 5 floors in 10 seconds?

### Tip:
The steeper the slope (positive or negative), the faster the rate of change. A more vertical line indicates a faster rate!

What is the slope of the line on the graph? Interpret the rate of change for this situation.

Understand how to calculate the slope of a line from a graph depicting Marta's elevator ride. Learn to interpret the rate of change, where the slope represents Marta going down 1 floor every 2 seconds. Suitable for Grades 6-8.

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