Question

Consider the line 9x-6y=-3 .
What is the slope of a line parallel to this line?

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

Answer 1

First you have to put your line into
y = mx + b format.

9x - 6y = -3

-6y = -9x -3
y = 9/6 x - 3
y = 3/2 x - 3

Parallel lines have the same slope.
m represents you slope.

Perpendicular lines have slopes that are negative reciprocals of each. flip the fraction and include the opposite sign. In this case it would be -2/3

Also, if you multiple the slopes of two perpendicular lines you will always get -1 as an answer.

Answer 2

so is the perpendicular line is -2/3?
What is the parallel line?

Answer 3

the perpendicular line is -2
the parallel line is 3/2