Question

find the slope of the line $y = -x + \frac{1}{4}$. write your answer as an integer or as a simplified proper or improper fraction.

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a line is given by \(y = mx + b\), where \(m\) is the slope of the line and \(b\) is the y - intercept.

Step2: Compare with given equation

The given equation is \(y=-x+\frac{1}{4}\). We can rewrite \(-x\) as \(- 1x\). Comparing \(y=-1x+\frac{1}{4}\) with \(y = mx + b\), we can see that \(m=-1\).

Answer:

\(-1\)