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. The y - intercept is the value of $y$ when $x = 0$.

Step2: Identify the y - intercept from the given equation

The given equation is $y=-x+\frac{5}{11}$. Comparing this with the slope - intercept form $y = mx + b$, we can see that when $x = 0$, the value of $y$ (the y - intercept) is the constant term $b$. In the equation $y=-x+\frac{5}{11}$, the constant term $b=\frac{5}{11}$.

Answer:

$\frac{5}{11}$