Final answer:
The slope of the line passing through the points (3,17) and (7,25) is calculated to be 2 using the slope formula, making Option 2 the correct choice.
Step-by-step explanation:
To find the slope of a line passing through two points, you use the formula:
Slope (m) = (y2 - y1) / (x2 - x1)
Applying this formula to the points (3,17) and (7,25):
Slope = (25 - 17) / (7 - 3) = 8 / 4 = 2
Therefore, the slope of the line that passes through the points (3,17) and (7,25) is 2, which is Option 2.