# A line segment is bisected by a line with the equation # 2 y -4 x = 1 #. If one end of the line segment is at #(3 ,8 )#, where is the other end?

##### 1 Answer

The other end of the line segment is (4.2, 7.4)

#### Explanation:

Let the other end of the line segment be

So the mid-point of

The mid point belongs to the line

The slope of this line is

Sustituting the values of the mid point in this equation

Simplifying the equation

We need the equation of the line segment

the slope

so the equation is

Solving we get

Substituting in other equation

and

So the point is (4.2,7.4)