What does the slope of the distance-time graph give?a. speedb. velocityc. accelerationd. displacement

The slope of a distance-time graph gives the speed of the object. So, the correct answer is a. speed.

Here's why:

Step 1: Understand the graph - A distance-time graph shows how the distance of an object changes over time.

Step 2: Understand the slope - The slope of a line on a graph is a measure of how steep the line is. In the context of a distance-time graph, the slope represents the rate at which the distance is changing over time.

Step 3: Relate slope to speed - Speed is defined as the rate at which an object covers distance. Therefore, on a distance-time graph, the rate at which the distance is changing (i.e., the slope of the line) is a representation of the object's speed.

So, the slope of the distance-time graph gives the speed of the object.