Respuesta :

Answer:   B

Step-by-step explanation:

y = mx + mc

The perpendicular will have slope -1/m and intercept mc, which is

y = (-1/m)x + mc

For the answers you have to factor out a -1/m from both terms:

[tex]$y = -\frac 1m x + mc \cdot -m \cdot -\frac 1m$\\[/tex]

[tex]$y = -\frac 1m (x + mc \cdot -m)$[/tex]

[tex]$\boxed{\;\textbf{(B)}\ \,y = -\frac 1m (x - m^2 c)\;}$[/tex]