Question

find the y-intercept of the line $y = -x + \frac{5}{11}$. write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

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 \(y\) - intercept from the given equation

Given the equation \(y=-x+\frac{5}{11}\), comparing it with \(y = mx + b\), we can see that \(b=\frac{5}{11}\). So the \(y\) - intercept is the value of \(b\) in the slope - intercept form.

Answer:

\(\frac{5}{11}\)