Question

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

Answer 1

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.