# What is an equation of the line that passes through the point (6, -3) and is perpendicular to the line #6x+y=1#?

##### 1 Answer

Sorry the explanation is a bit long. Tried to give full explanation of what is going on.

#### Explanation:

consider the equation of a straight line in the standard form of:

In this case

A straight line that is perpendicular to this would have the gradient of

Where

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

Given

Subtract

But

So

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

We are told that this passes through the known point

Substitute these values in the equation to find

Subtract 1 from both sides

So the equation is