Answer
$y=-5x+\dfrac{1}{2}$
Work Step by Step
Given the slope of $-5$ and the $y$-intercept of $\left(0,\dfrac{1}{2}\right)$ the equation of the line can be determined using $y=mx+b$ or the Slope-Intercept Form of linear equations, where $m$ is the slope and $b$ is the $y$-intercept. That is,
\begin{align*}
y&=mx+b
\\
y&=-5x+\dfrac{1}{2}
.\end{align*}
Hence, the equation of the graph of a line with a slope of $-5$ and a $y$-intercept of $\left(0,\dfrac{1}{2}\right)$ is $y=-5x+\dfrac{1}{2}$.
