what is the slope of the line with equation y - 3 = -\\frac{1}{2}(x - 2)?

Explanation:

Step1: Recall point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$, where $m$ is the slope.

Step2: Identify the slope

In the equation $y - 3=-\frac{1}{2}(x - 2)$, comparing it with $y - y_1=m(x - x_1)$, we can see that $m =-\frac{1}{2}$.

Answer:

$-\frac{1}{2}$