# How do you find a standard form equation for the line perpendicular to line x-7y=9 and point(5,4)?

##### 1 Answer

Feb 9, 2018

The standard form equation for the line perpendicular to line x-7y=9 and point (5,4) is given by

#### Explanation:

Given line:

If

slope of the line is given by

Expressing the given line in the standard form

Comparing

Thus the slope of the line is

The normal has the slope which is the negative reciprocal of the slope of the given line

Further, it is given that the normal passes through the point

Equation of the line passing through the point

Simplifying

Rearranging in the standard form