# What is the equation of the line perpendicular to #y=-2/21x # that passes through # (-1,6) #?

##### 2 Answers

The slope of a perpendicular line is the negative reciprocal of the original line.

#### Explanation:

The slope of the perpendicular line is

Now we can use point slope form to plug in the point, the slope abs find the slope intercept form equation.

The point (-1,6) is

Hopefully this helps!

#### Explanation:

Given:

Compare to the standard form of

Where

In your equation

If

'~~~~~~~~~~~~~~~~~~~~~~~~~~~

We know that this new line passes through

So substitute into equation (2) the values

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The line perpendicular to that given is: