Final answer:
The slope of the line passing through the points (1,3) and (5,6) is calculated using the slope formula and is found to be 3/4.
Step-by-step explanation:
The question requires finding the slope of the line that passes through two given points, (1,3) and (5,6).
To find the slope (m), we can use the slope formula which is m = (y2 - y1) / (x2 - x1).
Plugging in our points, we get m = (6 - 3) / (5 - 1), which simplifies to m = 3 / 4.
Therefore, the slope of the line is 3/4.