Can someone me with this equation? you.

I found it simplest to start with the given line in standard form. That is
.. x +2y = 3 . . . . . . . . divide the given equation by 3

Now, the perpendicular line is easily written as
.. 2(x -(-4)) -(y -2) = 0 . . . . . swap x, y coefficients, negate one. Translate to the given point

Simplifying, we have
.. 2x -y +10 = 0
Solving for y gives
.. y = 2x +10 . . . . . . . . . . . . corresponds to selection B