Question

find the y-intercept of the line $y = \frac{1}{3}x - 1$. 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 \(b\) from the given equation

The given equation is \(y=\frac{1}{3}x - 1\). Comparing this with \(y=mx + b\), we can see that \(m=\frac{1}{3}\) and \(b=- 1\). The value of \(b\) is the \(y\) - intercept.

Answer:

\(-1\)