In what type of graph would you find acceleration represented as the slope?

The correct answer is based on the relationship between velocity, acceleration, and how they are represented in different types of graphs. In a velocity-time graph, the slope represents acceleration. This is because acceleration is defined as the change in velocity over time. Therefore, when you plot velocity on the y-axis and time on the x-axis, the steepness of the line indicates how quickly the velocity is changing, which is the essence of acceleration.

In contrast, displacement-time graphs show how displacement changes over time, where the slope indicates velocity but not acceleration. Distance-time graphs also depict how distance varies with time and likewise represent speed rather than acceleration. A force-time graph relates force to time and does not provide insights into velocity or acceleration slopes. Thus, in the context of changes in velocity over time, a velocity-time graph is where acceleration is accurately represented as the slope.