Question

I have to find which line is perpendicular to the line given

Answer 1

Perpendicularity law

$\begin{gathered} m_1m_2=-1 \\ -5m_2=-1 \\ m_2=\frac{1}{5} \\ y-y_1=m(x-x_1) \\ y-(-4)=\frac{1}{5}(x-10) \\ y+4=\frac{x}{5}-2 \\ y=\frac{1}{5}x-2-4 \\ y=\frac{1}{5}x-6 \end{gathered}$