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Name the image of (4, - 2) after being translated along the vector < -2, -5 >.

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To translate a point given its coordinate and a vector to translate by, we can simply add each value of the vector to the corresponding x and y coordinates of the point, so:


(4,-2)\longrightarrow(4-2,-2-5)=(2,-7)

So, the image of the translations is (2, -7).

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User Lincoln Bergeson
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