Answer :
ANSWER:
A.
[tex]y-2=-\frac{1}{5}\cdot(x-2)[/tex]STEP-BY-STEP EXPLANATION:
When two lines are perpendicular, the product of their slopes is equal to -1, therefore
[tex]\begin{gathered} m_1\cdot m_2=-1 \\ 5\cdot m_2=-1 \\ m_2=-\frac{1}{5} \end{gathered}[/tex]We have that the equation in its slope and point form is the following:
[tex]y-y_1=m\cdot(x-x_1)[/tex]We replace the values of the point and the slope and we would have the following equation
[tex]y-2=-\frac{1}{5}\cdot(x-2)[/tex]