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

Feb 11, 2016

It will have a slope of $\frac{9}{14}$

#### Explanation:

The question was mentioned as $y = - \frac{14}{9} + 11$, but I think it should have been $y = - \frac{14}{9} x + 11$.

As the equation is already in slope intercept form, slope of this line is $- \frac{14}{9}$.

A line perpendicular to this will have slope of $\frac{9}{14}$, as product of slopes of two perpendicular lines is $- 1$.

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