Final answer:
The slope of the line passing through the points (4, 5) and (6, 8) is calculated using the slope formula and is found to be 3/2.
Step-by-step explanation:
To find the slope of a line passing through the points (4, 5) and (6, 8), we use the slope formula, which is the change in y (rise) divided by the change in x (run). Let's denote the first point as (x1, y1) and the second point as (x2, y2). The slope formula is:
m = (y2 - y1) / (x2 - x1)
Substituting the given values into the slope formula:
m = (8 - 5) / (6 - 4) = 3 / 2
Therefore, the correct answer is C. m = 3/2.