Final answer:
The slope of the line passing through the points (-3,6) and (7,1) is calculated using the formula for slope, resulting in a slope of -1/2.
Step-by-step explanation:
The slope of a line going through two points can be found using the slope formula, which is m = (Y2 - Y1) / (X2 - X1). In the given problem, to find the slope of the line passing through the points (-3,6) and (7,1), you would substitute these values into the formula: m = (1 - 6) / (7 - (-3)) = -5 / 10 = -1/2. Therefore, the slope of the line is -1/2.