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:
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 = [tex]m_{1} = -6[/tex]
perpendicular slope = [tex]m_{2}[/tex] = reciprocal of [tex]m_{1}[/tex].
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 [tex]m_{1}[/tex] and [tex]m_{2}[/tex], the answer will be - 1:
[tex](\frac{-6}{1}) (\frac{1}{6}) = \frac{-6}{6} = -1[/tex]
