Question

On a coordinate plane, a line is drawn from point R to point Q. Point R is at (4, negative 1), and point Q is at (negative 5, 3).
What are 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? Round to the nearest tenth, if necessary.

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Answer 1

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)

How to find line segment partition?

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)

Read more about Line segment Partition at; brainly.com/question/12959377

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