# A line segment is bisected by a line with the equation # -7 y + 3 x = 1 #. If one end of the line segment is at #( 2 , 4 )#, where is the other end?

##### 1 Answer

Please read the explanation.

#### Explanation:

**Given :**

(a) A **line segment** is **bisected** by a line.

(b) **Equation of the line :**

**Find :**

If one end of the line segment is at

**Plot the point **

Graph the line

Construct a **perpendicular line** through the point

This is the **shortest distance** between the line and the point

Mark **the point of intersection** of the **perpendicular line** and the line with the equation

This is the **Mid-Point(O)** of the required **line segment** we must find, in order to **locate the coordinates** of the other end of the line segment.

Measure the **magnitude of **

Using the **Mid-Point (O)** as the **center,** **construct a circle with radius** being the **magnitude** of the part of the line segment

**Radius **

**Extrend the line segment **

**Mark the intersection of the circle and this part of the extended line**.

This is our **Point **

Join **magnitude of **

Find the **coordinates of the point **

Hope you find this solution process useful to your requirement.