Consider the line x+6y=9

What is the slope of a line parallel to this line?

What is the slope of a line perpendicular to this line?

parallel slope = - 1/6

perpendicular slope = 6

Step-by-step explanation:

first find the slope of the given equation:

6y = - x + 9

y = - x/6 + 3/2

slope = - 1/6

the slope of a parallel line is the same slope so it would also be - 1/6

the slope of a perpendicular line is the opposite / negative reciprocal

so it would be 6