if coordinates (-2,-5) undergo a translation vector of <2,-3> in the coordinate plane, what would the resulting coordinates be?

Answer 1

To find the resulting coordinates after the translation, you add the components of the translation vector to the original coordinates.

The original coordinates are \((-2, -5)\) and the translation vector is \(\langle 2, -3 \rangle\).

Now, perform the addition:

• For the x-coordinate: \(-2 + 2 = 0\)

• For the y-coordinate: \(-5 + (-3) = -5 - 3 = -8\)

So, the resulting coordinates after the translation are \((0, -8)\).