# A line segment is bisected by a line with the equation # -3 y + 7 x = 1 #. If one end of the line segment is at #(9 ,2 )#, where is the other end?

##### 1 Answer

The point

#### Explanation:

Write the given equation of the bisector line in slope-intercept:

The slope of the line that goes through point

To find the x coordinate of the point of intersection subtract equation [2] from equation [1]

The change in x from 9 to

The x coordinate for other end will have twice that change:

To find the y coordinate of the other end, substitute the x coordinate into equation [2]