Problema Solution
Suppose a ball is being twirled at the end of a string and the center of rotation is the origin of a coordinate system. If the string breaks, the initial path of the ball is on a line that is perpendicular to the radius of the circle. Suppose the string breaks when the ball is at the point whose coordinates are P(1, 2). Find the equation of the line on which the initial path lies.
what is the equation?
If this can be answered in algebrator, please instruct me on how to do it.
Thanks!
Answer provided by our tutors
Slope of radius line = (2-0)/(1-0) = 2
slope of perpendicular line = -1/2
equation of path is
y-2 = (-1/2)*(x-1)
2y-4 = -x+1
x+2y = 5