# A line segment is bisected by a line with the equation # - 5 y + 3 x = 1 #. If one end of the line segment is at #(6 ,4 )#, where is the other end?

##### 1 Answer

**any point on the line**

#### Explanation:

If

if

Then for any point

the

will be the same as

Since

for any point

the corresponding target end point will be

Specifically we can see that

with a corresponding target point of

Note also that the target line is parallel to

and therefore has the same slope (namely

Using the slope-point form for the target line, we get

or

or