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?
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  from equation 
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