Question

What is the slope of the line perpendicular to `y=-14/9 x +11`?

Answer 1

It will have a slope of `9/14`

Explanation:

The question was mentioned as `y=-14/9 +11`, but I think it should have been `y=-14/9 x +11`.

As the equation is already in slope intercept form, slope of this line is `-14/9`.

A line perpendicular to this will have slope of `9/14`, as product of slopes of two perpendicular lines is `-1`.

(In case the line is truly `y=-14/9 +11`, it has zero slope and a line perpendicular to it will be parallel to `y` axis.