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

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

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

Answer

Explanation:

Step1: Recall the point - slope form of a line

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

Step2: Identify the slope from the given equation

Given 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})