What is the slop of a line that is perpendicular to the line y = 1/6 x + 4?

Y = 1/6x + 4 ... the slope here is 1/6. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign.

So the slope of a perpendicular line will be - 6/1 or just - 6 ... see how I flipped the slope and changed the sign.