Dee112703
Answered

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What are the coordinates of the point on the directed line segment from (5,5) to
(8,-4) that partitions the segment into a ratio of 1 to 2?

Sagot :

MrRoyal

Answer:

[tex](x,y) = (6,2)[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (5,5)[/tex]

[tex](x_2,y_2) = (8,-4)[/tex]

[tex]m:n = 1:2[/tex]

Required

Determine the coordinate of the partition

This is calculated using:

[tex](x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]

Substitute values for m,n,x's and y's

[tex](x,y) = (\frac{1 * 8 + 2 * 5}{1+2},\frac{1*-4 + 2*5}{1 + 2})[/tex]

[tex](x,y) = (\frac{18}{3},\frac{6}{3})[/tex]

[tex](x,y) = (6,2)[/tex]

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