Question

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

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: Identify \(m\) in the given equation

In 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:

\(-\frac{1}{2}\) (corresponding to the option with value \(-\frac{1}{2}\))