A line segment is bisected by a line with the equation # 7 y + x = 7 #. If one end of the line segment is at #(1 ,3 )#, where is the other end?
1 Answer
Jul 9, 2017
The other end is
Explanation:
Let's rewrite the equation of the line.
The slope is
The slope of the perpendicular line is
The equation of the perpendicular line is
The point of intersection is obtained by solving for
The point of intersection is
Let the other end of the line segment be
Then,
The other end is