# How do you find a line that passes through (3,5) perpendicular to a line whose slope is -1/9?

##### 1 Answer

Feb 17, 2017

#### Explanation:

The standardised equation of a strait line is

Any line perpendicular to this will have the gradient of:

So in this case as

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Thus the equation of the line we are after is

This line passes through the point

so by substitution we have:

subtract 27 from both sides

Thus we have: