Writing Equations of Perpendicular Lines

Two lines are perpendicular if and only if the product of their slopes are equal to $\text{-}1.$ Consider the first equation. $$\begin{array}{c}y=\frac{1}{5}x+1\end{array}$$ Here, the slope is $\frac{1}{5}.$ This means that the slope $m_2$ of any perpendicular line will satisfy the equation $$\frac{1}{5}\cdot m_2=\text{-}1.$$ To find this slope we'll multiply both sides by $5.$ $$m_2=\text{-}5$$ We can see that in Ron-Jon's equation he wrote the slope $5,$ which is incorrect. The correct equation should be $y=\text{-}5+6.$