# A line segment is bisected by line with the equation # 6 y + 7 x = 4 #. If one end of the line segment is at #(2 ,4 )#, where is the other end?

##### 2 Answers

End point coordinates

#### Explanation:

It is assumed that the intersecting line is a perpendicular bisector.

Slope

Slope of the line segment

Equation of line segment is

Solving the equations we will get the coordinates of the mid point (intersection point).

Mid point coordinates

But mid point

End point coordinates

#### Explanation:

Let

Given that the equation of the bisector

Let

Recall that the product of the slopes of two perpendicular lines is

Given

Set the equations of

Let the other end point of

Since