How do you calculate the slope on a distance-time graph?

The slope on a distance-time graph is calculated by dividing the change in distance by the change in time.

In more detail, the slope of a distance-time graph represents the speed of an object. This is because speed is defined as the rate of change of distance with respect to time. In other words, it tells you how much distance an object covers in a certain amount of time.

To calculate the slope, you need to identify two points on the line of the graph. These points could be the start and end points of the line, or any two points along the line. Once you have identified these points, you calculate the change in distance (also known as the 'rise') and the change in time (also known as the 'run').

The change in distance is calculated by subtracting the distance at the first point from the distance at the second point. Similarly, the change in time is calculated by subtracting the time at the first point from the time at the second point.

Once you have these two values, you divide the change in distance by the change in time to get the slope of the line. This value represents the speed of the object.

Remember, if the line on the graph is straight, the speed is constant. If the line is curved, the speed is changing. In this case, you would need to draw a tangent to the curve at the point where you want to calculate the speed, and then calculate the slope of this tangent line.

In summary, the slope of a distance-time graph gives you the speed of an object, and it is calculated by dividing the change in distance by the change in time.