# In a xy plane, the equation of a line is #x+3y=12#. What is an equation of a line that is perpendicular to it?

##### 1 Answer

Aug 29, 2016

For example,

#### Explanation:

The equation of a straight line in slope (

In this example we are given the equation:

Rearranging terms:

Hence:

For two straight lines to be perpendicular to eachother their slopes

(

Hence the straight lines perpendicular to the line with a slope of

For example, the line perpendicular to the given line with the same intercept is