# How do you write an equation of a line Perpendicular to #3x+4y=12#, through (7, 1)?

##### 1 Answer

Nov 14, 2016

#### Explanation:

Product of the slopes of two lines perpendicular to each other is

Writing the equation of given line

Hence slope of this line is

As such we have

or

Hence, slope of desired line is

we can have equation of desired line using point slope form of equation i.e.

or

or

or

graph{(3x+4y-12)(4x-3y-25)=0 [-6.21, 13.79, -3.32, 6.68]}