What is the slope of a line perpendicular to the line whose equation is 3x+6y=-183x+6y=−18. Fully reduce your answer.

2

Step-by-step explanation:

The given equation of line is

We need to find the slope of a line which is perpendicular to the given line.

The given equation can be rewritten as

     ...(i)

If a line is defined as , then the slope of the line is  

In equation (i), a=3, b=6 and c=18. So, slope of the line is

Let be the slope of perpendicular line.

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

Multiply both sides by -2.

Therefore, the slope of perpendicular line is 2.

is there any other information given for this problem? this is not enough information.