As requirements for measuring mirrors with more accuracy become more demanding, knowledge of the Long Trace Profiler's (LTP's) ability to measure small slope differences between adjacent locations on a mirror becomes more important. This presentation shows what kind of slope resolution one can expect of a measurement, given the optical system parameters. The optical system parameters are focal length of the f-theta lens, length of the camera's detector array, number of pixels in the array, and dynamic resolution of the array (bits per pixel). In addition, the type of algorithm used to convert acquired intensity patterns to slope values makes a significant difference in the smallest detectable slope change. Consideration of these parameters, especially the type of algorithm that is used, makes an analytical determination of slope resolution difficult. However, computer simulation of intensity pattern generation and analysis allows quantitative slope resolution estimates to be made for any optical system. Intensity pattern contrast is not an optical system parameter, but must be considered when simulating the generation and analysis of the intensity patterns. In conclusion, estimates of slope resolution range from 0.0003 microradians for a contrast of 0.9, camera dynamic resolution of 16 bits, using a Fourier transform algorithm, to 2 microradians for a contrast of 0.1, camera dynamic resolution of 8 bits, using a curve fit algorithm with 3 points. (These points are used in a curve fit routine to determine the minimum location, and hence the slope value, of the sinusoidal component of the intensity pattern.) The author thanks Peter Takacs and Wayne McKinney for discussions on this subject. This work was supported by the U. S. Department of Energy under contract number DC-AC03-76SF00098.