Verified Answer :

The opposite reciprocal of -1/9 is 9
So the answer is A

Answer: A. 9

Step-by-step explanation:

Given: The red line and the green line are perpendicular to each other.

The slope of green line =\(\dfrac{-1}{9}\)

We know that the product of slopes of two perpendicular line is -1.

Let m be the slope of red line ], then we have

\(\dfrac{-1}{9}\times m=-1\\\\\Rightarrow\ m=\dfrac{9}{1}=9\)

Hence, the slope of the red line = 9.