Final answer:
The slope of the line passing through (3, 2) and (-2, -3) is calculated using the slope formula, resulting in a positive slope of 1.
Step-by-step explanation:
To find the slope of the line passing through the points (3, 2) and (-2, -3), you can use the slope formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.
Using the given points (3, 2) as (x1, y1) and (-2, -3) as (x2, y2):
m = (-3 - 2) / (-2 - 3)
m = (-5) / (-5)
m = 1
So, the slope of the line is 1, which means the correct answer is c. 1.