Final answer:
The slope of the line with the equation y = -(2)/(3)x + (3)/(2) is -2/3.
Step-by-step explanation:
The slope of a line can be found by comparing the coefficients of x and y in the equation y = mx + b. In this equation, m represents the slope. So, in the given equation y = -2/3x + 3/2, the slope is -2/3. This means that for every increase of 1 on the horizontal axis, the line will have a decrease of 2/3 on the vertical axis.