# What is the equation of the line that is perpendicular to the line passing through #(3,2)# and #(4,3)# at midpoint of the two points?

##### 1 Answer

Jun 3, 2017

#### Explanation:

Observe that the reqd. line is a line through the mid-point of the

sgmt. joining the two given points and perpendicular to the sgmt.

Evidently, it is the **Perpendicular Bisector** of the sgmt.

Knowing that any point on the per.bisector of the sgmt. is

equidistant from the extremities, we have,

**Respected Elena C. !**

**Enjoy Maths.!**