# A line segment is bisected by a line with the equation # - 3 y + 2 x = 2 #. If one end of the line segment is at #( 7 , 9 )#, where is the other end?

##### 1 Answer

(151/13,27/13)

#### Explanation:

Rewrite the equation of the bisector in the form

Therefore its gradient equals to

Since the gradient product of two perpendicular lines is

Solve for the equation of the line segment (which includes the point

Solve for the

Now you can find the

Solve for the

Therefore coordinate for the other end point is

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