How do you find the slope of the line parallel to and perpendicular to y=3x-4?

2 Answers
Anthony R.
Mar 1, 2017

Slope of line parallel is 3 while the slope of the perpendicular line is -1/3

Explanation:

The slope of any parallel is the slope of the original line.

For example: Given y = 2/3x+5 the slope of a parallel line will be 2/3 whereas the slope of a perpendicular line requires you to take the negative reciprocal of the slope.

Since the slope of this example is 2/3 its negative reciprocal is -3/2 (You just flip the fraction and negate it)

MeneerNask
Mar 1, 2017

y has a slope of 3

Explanation:

So any line with the same slope is parallel to y. They will be of the form z=3x+b, (b being any number).

Perpendicular means that the product of the slopes must be -1.

In this case the slope must be -1/3 because -1/3xx3=-1

Any line of the form p=-1/3x+b will do.

Related questions
See all questions in Equations of Parallel Lines
Impact of this question
4209 views around the world
You can reuse this answer
Creative Commons License