Question

what is the slope of the line represented by the equation $y = -\frac{1}{2}x + \frac{1}{4}$?
$-\frac{1}{2}$
$-\frac{1}{4}$
$\frac{1}{4}$
$\frac{1}{2}$

Explanation:

Step1: Recall slope-intercept form

The slope-intercept form of a line is $y = mx + b$, where $m$ is the slope, and $b$ is the y-intercept.

Step2: Match given equation to form

Compare $y = -\frac{1}{2}x + \frac{1}{4}$ with $y = mx + b$. Here, $m = -\frac{1}{2}$.

Answer:

A. $-\frac{1}{2}$