Final answer:
The slope of the line passing through points P (54,1) and Q (57,13) is calculated using the slope formula and is found to be 4.
Step-by-step explanation:
To find the slope of the line passing through two given points, P and Q, where P is at (54,1) and Q is at (57,13), we use the slope formula which is (change in y) / (change in x), or (y2 - y1) / (x2 - x1).
By substituting the given points into this formula, we get:
Slope = (13 - 1) / (57 - 54) = 12 / 3 = 4.
Therefore, the slope of the line that passes through points P and Q is 4.