A memory control for use with a digital oscilloscope having a display and a digital memory storing a sequence of signal samples. The sequence of signal samples is cyclically read from memory and displayed. The memory control adjusts the memory access operation to provide a controlled signal flow to the display at a rate within the slew-rate limits of the graphic display. In the memory control, the point slew, or distance over which the display beam moves from the present data point to the next point, is measured. If the point slew relative to the time interval between displayed signal samples exceeds the slew-rate capability of the display, the signal flow from the memory for subsequent data points is reduced or inhibited for a time sufficient to allow the display to reach a coordinate position corresponding to the desired data point.