Question

find the y-intercept of the line $y = 10x - \frac{1}{7}$. 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 \(b\) in the given equation

The given equation is \(y=10x-\frac{1}{7}\). Comparing it with \(y = mx + b\), we can see that \(m = 10\) and \(b=-\frac{1}{7}\). The \(y\) - intercept is the value of \(b\).

Answer:

\(-\frac{1}{7}\)