Question

find the y-intercept of the line y = x - 1. write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

Explanation:

Step1: Recall y-intercept formula

The y - intercept of a line in the slope - intercept form \(y=mx + b\) (where \(m\) is the slope and \(b\) is the y - intercept) occurs when \(x = 0\).

Step2: Substitute \(x = 0\) into the equation

For the line \(y=x - 1\), when \(x = 0\), we substitute \(x\) with \(0\) in the equation: \(y=0 - 1\).

Step3: Calculate the value of \(y\)

Simplifying \(y = 0-1\), we get \(y=- 1\).

Answer:

\(-1\)