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The image of the point (1, 9) under a translation is (4, 10) . Find the coordinates of the image of the point (- 9, - 2) under the same translation .

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xenia168

Answer:

( - 6 , - 1 )

Step-by-step explanation:

Let's find the rule of that transformation:

1 + [tex]k_{x}[/tex] = 4 ⇒ [tex]k_{x}[/tex] = 3

9 + [tex]k_{y}[/tex] = 10 ⇒ [tex]k_{y}[/tex] = 1

Thus, the rule of given transformation is ( x + 3 , y + 1 )

So, the image of the point ( - 9 , - 2 ) is

( - 9 + 3 , - 2 + 1 ) = ( - 6 , - 1 )

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