Final answer:
The slope between the points (3,4) and (5, 7) is 3/2 (option A).
Step-by-step explanation:
To find the slope between the points (3,4) and (5, 7), we can use the slope formula:
m = (y2 - y1) / (x2 - x1)
Substituting the values from the given points:
m = (7 - 4) / (5 - 3)
m = 3/2
Therefore, the slope between the points (3,4) and (5, 7) is 3/2 (option A).