How do I read a distance-time graph to find speed?

On a distance-time graph, time is on the x-axis and distance on the y-axis, and the slope of the line gives the speed. A straight slanting line means the object covers equal distances in equal times, so it moves at constant speed; the steeper the line, the faster the speed. To find that speed, pick two points on the line and divide the change in distance by the change in time. A flat horizontal line means the distance is not changing while time passes, so the object is at rest during that interval. A curved line that gets steeper means the object is speeding up (accelerating). So just by looking at the shape and steepness, you can describe the whole motion without any extra calculation.