Graphical Analysis Valuable information can be obtained by analyzing graphs. A. Slope: 1. The slope of a distance-time graph gives the velocity. (when Y = distance and X = time, slope = Y/X or d/t, which is velocity or speed) 2. The slope of a velocity-time graph gives the acceleration. (when Y = velocity and X = time, slope = v/t which is acceleration) B. Area under the curve: 3. The area under the curve of a velocity-time graph gives the displacement. 4. The area under the curve of an acceleration-time graph gives the velocity.