Question

1. in the standard (x,y) coordinate plane, what is the slope of the line with the equation $y - 2 = \frac{1}{2}(x + 3)$ ? f. $\frac{1}{2}$ g. $\frac{3}{2}$ h. $-2$ j. 1 k. 3

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, and $(x_1,y_1)$ is a point on the line.

Step2: Match given equation to form

Given equation: $y - 2 = \frac{1}{2}(x + 3)$, which can be rewritten as $y - 2 = \frac{1}{2}(x - (-3))$. Comparing to $y - y_1 = m(x - x_1)$, we identify $m = \frac{1}{2}$.

Answer:

F. $\frac{1}{2}$