If coordinates (−2,−5) undergo a translation vector of <2,−3> in the coordinate plane, what would the resulting coordinates be?
The resulting coordinates can be found by adding the components of the translation vector to the original coordinates.
adding 2 to -2 yields 0 for the x-coordinate
adding -3 to -5 yields -8 for the y-coordinate
Therefore, the resulting coordinates would be (0, -8).
To find the resulting coordinates after a translation vector is applied to the original coordinates, you simply add the corresponding components of the translation vector to the components of the original coordinates.
Given the original coordinates (-2, -5) and the translation vector <2, -3>, you add 2 to the x-component (-2 + 2 = 0) and subtract 3 from the y-component (-5 - 3 = -8).
Therefore, the resulting coordinates after the translation would be (0, -8).