Question

find the slope of the line $y = \frac{1}{6}x + \frac{4}{11}$. 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 \(y = mx + b\), where \(m\) is the slope and \(b\) is the y - intercept.

Step2: Identify the slope from the given equation

For the line \(y=\frac{1}{6}x+\frac{4}{11}\), comparing it with \(y = mx + b\), we can see that the coefficient of \(x\) (which is \(m\), the slope) is \(\frac{1}{6}\).

Answer:

\(\frac{1}{6}\)