Answer
$x$-intercept: $(1, 0)$
$y$-intercept: $(0, -1)$
Work Step by Step
This equation is in the slope-intercept form which is given by the equation:
$y = mx + b$
where $m$ is the slope and $b$ is the $y$-intercept.
The $y$-intercept is defined as the point on the graph when $x$ is $0$.
In the equation $y = x - 1$, the $y$-intercept is $-1$; therefore, the $y$-intercept occurs at $(0, -1)$.
We can find the $x$-intercept by setting $y$ equal to $0$ because the definition of the $x$-intercept is that it is the point on the graph when $y$ is $0$.
Let us set $y$ equal to $0$ to find the $x$-intercept:
$0 = x - 1$
$1=x$
The $x$-intercept occurs at $(1, 0)$, and the $y$-intercept occurs at $(0, -1)$.