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

Given:

Equation of a line is

To find:

The slope of the line perpendicular to the given line.

Solution:

The slope of the equation is

We have,

Here, a=1, b=-3. So, slope of this line is

Product of slopes of two perpendicular lines is -1.

Let slope of perpendicular line is .

Therefore, the slope of the perpendicular line is -3.

the answer is b