Question

If a point is originally located at (2,9) and is translated 4 units to the right and 7 units up, what would its new
coordinates be?

Answer 1

Given:

The point is (2,9).

It is translated 4 units to the right and 7 units up.

To find:

The coordinates of new point.

Solution:

The point is translated 4 units to the right and 7 units up. So, the rule of translation is

$(x,y)\to (x+4,y+7)$

The point is (2,9). Using the above rule, we get

$(2,9)\to (2+4,9+7)$

$(2,9)\to (6,16)$

Therefore, the coordinates of new points are (6,16).