Question

What is the slope of the line perpendicular to `y=7/6x -3`?

Answer 1

`-6/7`

Explanation:

The slope of a perpendicular line is going to be the negative reciprocal of the original line. To find the slope of the given line, simply look at the quantity being multiplied to the `x` term. Thus, it is `7/6`.

Now, you need to find the negative reciprocal. First, find the reciprocal. The reciprocal of `7/6` is `6/7` (just flip the fraction. A number multiplied by its reciprocal should equal `1`).

Then, negate it. `6/7` multiplied by `-1` is `-6/7` And there you have it!