Answer
$\text{slope: }
\dfrac{1}{4}
,\\\text{a point on the line: }
(5,3)$
Work Step by Step
Using $y-y_1=m(x-x_1)$ or the Point-Slope form where $m$ is the slope and $(x_1,y_1)$ is a point on the line, then the given equation, $
y-3=\dfrac{1}{4}(x-5)
$, has the following characteristics:
\begin{array}{l}
\text{slope: }
\dfrac{1}{4}
,\\\text{a point on the line: }
(5,3)
.\end{array}