Question

The graph represents Daniel's bike ride to the ballpark. Determine the slope from point D to point E. What does the slope indicate about Daniel's speed between points D and E?



(1 point)
Responses

-1; The slope indicates that Daniel's speed is less than 1 meter per minute.
-1; The slope indicates that Daniel's speed is less than 1 meter per minute.

0; The slope indicates that Daniel is not moving further away from home.
0; The slope indicates that Daniel is not moving further away from home.

1; The slope indicates that Daniel's speed is 1 meter per minute.
1; The slope indicates that Daniel's speed is 1 meter per minute.

undefined; The slope indicates that Daniel's speed varies from minute to minute.
undefined; The slope indicates that Daniel's speed varies from minute to minute.
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Answer 1

To determine the slope from point D to point E, we first need to know the coordinates of points D and E on the graph. The slope is calculated as the change in the vertical direction (rise) over the change in the horizontal direction (run).

Assuming point D has coordinates (x1, y1) and point E has coordinates (x2, y2), the formula for the slope (m) is:

\[
m = \frac{y2 - y1}{x2 - x1}
\]

Without the specific coordinates, I cannot calculate the exact slope. However, I can guide you through what each possible slope indicates about Daniel's speed:

- A slope of **-1** indicates that he is moving backward (decreasing distance from home).
- A slope of **0** indicates he is stationary.
- A slope of **1** indicates he is moving away from home at a consistent speed of 1 meter per minute.
- An **undefined** slope indicates a vertical line, meaning time is passing, but there is no change in distance, suggesting Daniel's speed is not consistent or changes frequently.

If you can provide the coordinates for points D and E from the graph, I would be able to compute the slope and determine what it indicates about Daniel's speed.