Question

A point M on a segment with endpoints X (1, −2) and Y (10, 3) partitions the segment in a 5:1 ratio. Find M. You must show all work to receive credit.

Answer 1

The coordinates of point M which divides the line segment having end points (1,-2) and (10,3) in 5:1 are (17/2,13/6).

Given that the end points of line segment  are X(1,-2) and Y(10,3) and the ratio in which the line segment is being divided is 5:1.

Line segment is a collection of points which when together joined joins two points on a surface.

The coordinates of point dividing a line segment with end points $(x_{1} ,y_{1} ),(x_{2} ,y_{2} )$ and ratio m:ncan be calculated using the below given formula:

(X,Y)=$(mx_{2} +nx_{1} /m+n,my_{2} +ny_{1} /m+n)$.

We have to just put the values in the above formula to get the  coordinates.

(X,Y)=(5*10+1*1/5+1,5*3-2*1/5+1)

=(50+1/6,15-2/6)

=(51/6,13/6)

=(17/2,13/6)

Hence the coordinates of point M which divides the line segment having end points (1,-2) and (10,3) in 5:1 are (17/2,13/6).

Learn more about line segment at brainly.com/question/2437195

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