Answer:
So a line perpendicular to this equation would be any line with a slope of -3/4 (the negative reciprocal of the slope)
Explanation:
First convert the original equation into y = form to find the slope.
Subtract 4x on both sides leaving -3y = -27 - 4x
This leaves y = (-27 - 4x)/(-3)
You can divide both -27 and -4x by -3 individually to get 9 and 4/3 respectively
This makes your equation y = 9 + (4/3)x
Whenever an equation is in y = mx + b form, the 'm' represents the slope. In this case the slope is 4/3.