what is the image (-6,1) after a translation 2 units left and 3 units down

(-6-2,1-3) = (-8,-2)

To find the new coordinates of the point after translation, we need to subtract 2 from the x-coordinate and subtract 3 from the y-coordinate.

Given the original coordinates (-6, 1), let's perform the translation:

New x-coordinate = -6 - 2 = -8
New y-coordinate = 1 - 3 = -2

So, the image of the point (-6, 1) after a translation 2 units left and 3 units down is (-8, -2).

To find the image of a point after a translation, you need to add or subtract the given values of the translation from the coordinates of the original point.

In this case, the original point is (-6, 1), and the translation is 2 units left and 3 units down.

To find the image after the translation, you subtract 2 from the x-coordinate (-6 - 2 = -8) and subtract 3 from the y-coordinate (1 - 3 = -2).

Therefore, the image of the point (-6, 1) after the translation 2 units left and 3 units down is (-8, -2).