The graph of which of the following will be perpendicular to the graph of 4x - 3y = - 12?

For a graph in standard (general) form,

Ax+By=C ... (1)

ANY graph that is of the form

Bx-Ay=C ... (2)

is perpendicular to graph (1).

For

4x-3y=-12 ... (3)

the line

3x+4y=Any real number ... (4)

is perpendicular to (3).

Note: multiples or sub-multiples of (4) are also perpendicular to (3),

for example,

3x+4y=8

6x+8y=9

...

etc.