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 linear equation is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y - intercept.

Step2: Identify \(m\) in the given equation

Given the equation \(y=-\frac{1}{2}x+\frac{1}{4}\), comparing it with \(y = mx + b\), we can see that \(m = -\frac{1}{2}\).

Answer:

A. \(-\frac{1}{2}\)