# What is the equation of the line perpendicular to #y=4/17x # that passes through # (5,7) #?

##### 1 Answer

Dec 5, 2015

Writing the solution in the same format as the question:

#### Explanation:

Let any point on the target line be

Given:

Standard form of equation is

In your case:

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

The gradient (slope) of you graph is

Any line that is perpendicular to this line has the gradient of:

So the gradient of you target line is

So we have:

We know that there is a point on the line for equation (2) where

So by substitution in (2) we have we have:

So equation (2) is: