A line segment is bisected by a line with the equation # 5 y -4 x = 1 #. If one end of the line segment is at #(3 ,4 )#, where is the other end?
1 Answer
The other end is
Explanation:
Let's rewrite the equation of the line
The slope is
The slope of a line perpendicular is
as
The equation of the segment is
The point of intersection of the lines
The point of intersection is
Let the other end of the segment be
Then,
and
The other end is
graph{(y-4/5x-1/5)(y+5/4x-31/4)((x-3)^2+(y-4)^2-0.01)((x-179/41)^2+(y-94/41)^2-0.01)=0 [-1.985, 9.116, -0.99, 4.56]}