Question

How do you find the slope that is perpendicular to the line `y=7/5x - 2`?

Answer 1

The slope is `(-5)/7`.

Explanation:

The slope of a line in slope intercept form (`y=mx+b`) gives the slope of the line. The coefficient of `x`, which we call `m`, is equal to a line's slope.

In this case, the slope is `7/5`.

To find the slope of a perpendicular line, we simply use the negative reciprocal of the number. The reciprocal of `7/5` is `5/7`.

Therefore, the negative reciprocal of `7/5` is `(-5)/7`.

The slope of a perpendicular line is therefore `(-5)/7`.

In other cases, you might need to manipulate the equation to get it in slope intercept form.