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Segment DE has endpoints M(-6, 7) and E(4, 11). Find the coordinates of the point that divides the line segment directed from M to E in the ratio of 1:3.

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Marking as brainliest Segment DE has endpoints M6 7 and E4 11 Find the coordinates of the point that divides the line segment directed from M to E in the ratio class=

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Answer:

The answer to your question is: Letter A

Step-by-step explanation:

Data

M (-6, 7)

E (4, 11)

r = 1 / 3

Formula

[tex]x = \frac{x1 + rx2}{1 + r}[/tex]

[tex]y = \frac{y1 + ry2}{1 + r}[/tex]

x = [tex]\frac{-6 + (1/3)(11)}{(4/3)} = \frac{-6 + (4/3)}{(4/3)}  = \frac{-18 + 4}{4} = \frac{-14}{4}  = \frac{-7}{2}[/tex]

y = [tex]\frac{7 + (1/3)(11)}{4/3} = \frac{7 + (11/3)}{(4/3)} = \frac{21+ 11}{4}  = \frac{32}{4} = 8[/tex]

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