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 −13

Explanation:

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

For example: Given y = 23x+5 the slope of a parallel line will be 23 whereas the slope of a perpendicular line requires you to take the negative reciprocal of the slope.

Since the slope of this example is 23 its negative reciprocal is −32 (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 −13 because −13×3=−1

Any line of the form p=−13x+b will do.

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