The image of the point (-5, 4) under a translation is (-3,-1). Find the coordinates of the image of the point (-2,9) under the same translation.
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The  coordinates of the image of the point (-2,9) under the same translation will be: (0, 4)

Step-by-step explanation:

Given that the image of the point (-5, 4) under a translation is (-3,-1).

It means the image (-3, -1) is obtained by moving the right side by 2 units and moving 5 units down.

In other words, the rule of translation is:

P(x, y) → (x+2, y-5)

(-5, 4) → (-5+2, 4-5) → (-3, -1)

now

TRANSLATING THE POINT (-2, 9)

We already know the translation rule

P(x, y) → (x+2, y-5)

so

(-2, 9)  → (-2+2, 9-5)  → (0, 4)

Therefore,

The  coordinates of the image of the point (-2,9) under the same translation will be: (0, 4)

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