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