What is the slope of a line perpendicular to the with equation y=6x+2? A. 6 B.-6 C.-1/6 D. 2

The correct answer is C. - 1/6, because (-1/6) * (6) = - 1.

The equation y = 6x + 2 is in the format which is called the slope-intercept form: y = mx + b where m = slope. Therefore the slope here is 6.

For the line perpendicular, the slope of it is a negative reciprocal from the original slope, that is m (perpendicular) = - 1/m

Slope the line perpendicular is m (perpendicular) = - 1/6. The answer is C.