Answer
$y=-x+\dfrac{5}{2}$
Work Step by Step
Using $y=mx+b$, where $m$ is the slope and $b$ is the $y-$intercept, the equation of the line with the given slope $m=
-1
$ and the given $y-$intercept $b=
\dfrac{5}{2}
$ is
\begin{array}{l}\require{cancel}
y=-1x+\dfrac{5}{2}
\\\\
y=-x+\dfrac{5}{2}
.\end{array}