Question

What is the slope for a line that is perpendicular to the line X equals -6

Answer 1

Answer:

0

Step-by-step explanation:

Since x=6 is a vertical line, the slope is undefined. The perpendicular line is horizontal and the slope is 0.

Answer 2

Answer:

m  = 1/6

Step-by-step explanation:

By definition, two lines are perpendicular if and only if their slopes are negative reciprocals of each other.  

Let:

original slope = $m_{1} = -6$

perpendicular slope = $m_{2}$ = reciprocal of $m_{1}$.  

Therefore, given that the first line has a slope of -6 (or -6/1), then the slope of the perpendicular line is 1/6.

To check if the answer is correct, if you multiply $m_{1}$ and  $m_{2}$, the answer will be - 1:

$(\frac{-6}{1}) (\frac{1}{6}) = \frac{-6}{6} = -1$