Math / Geometry

QuestionThe coordinates of the endpoints of $\overline{C D}$ are $C(-7,9)$ and $D(8,-6)$ . Point $E$ is on $\overline{C D}$ and divides it such that $C E: D E$ is $2: 3$ .
What are the coordinates of $E$ ? Write your answers as integers or decimals. $\square$ , $\square$ Submit

Studdy Solution
Calculate the coordinates of point $E$ :
Calculate the $x$ -coordinate:
\[ x = \frac{16 - 21}{5} = \frac{-5}{5} = -1 $
Calculate the $y$ -coordinate:
\[ y = \frac{-12 + 27}{5} = \frac{15}{5} = 3 $
The coordinates of point $E$ are:
$\boxed{-1, 3}$

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