The coordinates of point P on the directed line segment from R to Q such that P is the length of the line segment from R to Q is; (-3.5, 2.3)
<h3>How to find line segment partition?</h3>
We are to find the coordinates of point P on the directed line segment from R to Q such that P is 5/6 the length of the line segment from R to Q.
We are to find the coordinates of point P.
The ratio in which the point 'P' dives the line segment RQ will be;
m:n = 5:1
The coordinates of the end-points of line segment RQ are
R(4, -1) and Q(-5, 3).
If a point H divides a line segment with end points (p, q) and (s, t) in the ratio m : n, then the coordinates of the point H are;
H = [(ms + np)/(m + n)], [(mt + nq)/(m + n)]
H = [(5*-5 + 1*4)/(5 + 1)], [(5*3 + 1*-1)/(5 + 1)]
H = (-21/6, 14/6)
H = (-3.5, 2.3)
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