## Algebra 1

$y=x-1$
The slope-intercept form of a linear equation of a non vertical line is $y=mx+b$, where $m$ is the slope and $b$ is the $y$-intercept. We plug in $m=1$ and $b=-1$ to this equation to get $y=1x+(-1)$. We simplify using the rules of addition and multiplication: $y=x-1$.