The slope of a line passing through two points (x1,y1) and (x2,y2) can be calculated using the formula:
slope = (y2-y1)/(x2-x1)
In this case, the two points are (8,-3) and (6,-7), so:
slope = (-7-(-3))/(6-8)
slope = (-7+3)/(-2)
slope = -4/(-2)
slope = 2
Therefore, the slope of the line passing through (8,-3) and (6,-7) is 2.