Which equation has a graph that is perpendicular to the graph of x + 6y = 12?

Perpendicular means the slope of the original equation flipped and multiplied by negative one. So the slope of this function when put into y=mx+b form is 1/6 because y=1/6x-2 
flip 1/6 ---> 6 and times it by negative one ---> -6 is the slope of the new function 
So now you are looking for a graph that has the sole of -6 in y=mx+b form 
C. is the answer because it is y=-6x-52 in slope intercept form

10.4 is the answer for you