Final answer:
The slope of the line passing through the points (3, 2) and (2, 3) is calculated using the formula m = (Y2 - Y1) / (X2 - X1), resulting in a slope of -1.
Step-by-step explanation:
The question asks for the calculation of the slope given two points (3, 2) and (2, 3).
To find the slope, also known as the rate of change, you can use the formula m = (Y2 - Y1) / (X2 - X1), which represents the rise over run between two points on a line.
In this case, the points provide the following values: Y2 = 3, Y1 = 2, X2 = 2, and X1 = 3.
Plugging these values into the slope formula gives us:
m = (3 - 2) / (2 - 3) = 1 / (-1)
= -1.
The slope of the line passing through the points (3, 2) and (2, 3) is -1, indicating that for every unit increase in x, y decreases by 1 unit.