Answer :

The coordinates of the image of the point (- 4, 5) is (- 5, 15).

What is the image of a coordinate by using a translation?

In this question we find the coordinates of the original point and the translation vector. Please notice that translations are examples of rigid transformations, meaning that Euclidean distance is conserved in the resulting image. A translation can be done by the following formula:

P'(x, y) = P(x, y) + T(x, y)

Where:

  • P(x, y) - Original point
  • T(x, y) - Translation vector
  • P'(x, y) - Resulting point

If we know that P(x, y) = (- 4, 5) and T(x, y) = (- 1, 10), then the resulting point is:

P'(x, y) = (- 4, 5) + (- 1, 10)

P'(x, y) = (- 5, 15)

Remark

There is a typing mistake in the statement. Correct form is shown below:

(- 4, 5) is translated by the vector (- 1, 10). What coordinate would it be at?

To learn more on translations: https://brainly.com/question/12463306

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