Question

What is the equation of the line perpendicular to `y=-23x` that passes through `(-1,-6)`?

Answer 1

The slope of a perpendicular line is always the negative reciprocal of the other line's slope.

Explanation:

If the slope of y = -23x is -23, the slope of the perpendicular line is `1/23`.

y - (-6) = `1/23`(x - (-1)

y = `1/23x` + `1/23` - 6

y = `1/23x` - `137/23`

y = `1/23x` - `137/23` is the equation of the line perpendicular to y = -23x and that passes through (-1, -6).

Hopefully you understand now!