Question

What is the slope of the line perpendicular to `y=-5/3x -3`?

Answer 1

The slope of a line perpendicular to a line with slope `m` is `-1/m`. The line we are looking for, therefore, has a slope of `3/5`.

Explanation:

Standard form of a line is:

`y=mx+b` where `m` is the slope and `b` is the y-intercept.

For another line perpendicular, the slope will be `-1/m`. In this case, that is `-1/(-5/3)` = `3/5`.