Final answer:
To find the slope between the points (5, 7) and (6, 3), we use the slope formula resulting in a slope of -4.
Step-by-step explanation:
To determine the slope between two points, you use the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. In the case of the points (5, 7) and (6, 3), insert these into the formula to get m = (3 - 7) / (6 - 5), which simplifies to m = -4. Hence, the slope of the line passing through these two points is -4.