Question

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

Answer 1

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)

Answer 2

`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.