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What are the coordinates of the point on the directed line segment from (-9, 8)(−9,8) to (-2, -6)(−2,−6) that partitions the segment into a ratio of 1 to 6?

Respuesta :

Answer:

Step-by-step explanation:

let (x,y) be the required points.

[tex]x=\frac{nx1+mx2}{m+n} \\y=\frac{ny1+my2}{m+n}\\x=\frac{6*(-9)+1*(-2)}{1+6}\\x=\frac{-56}{7}=-8\\y=\frac{6*(8)+1*(-6)}{1+6} \\y=\frac{-42}{7}=-6\\\\point~is~(-8,-6)[/tex]

Answer:

Step-by-step explanation:

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