Given:
The image of the point (0,7) under a translation is (−2,5).
To find:
The coordinates of the image of the point (5,−2) under the same translation.
Solution:
It is given that, the image of the point (0,7) under a translation is (−2,5). Here, the x-coordinate decreased by 2 and the y-coordinate decreased by 2 so the rule of translation is:
[tex](x,y)\to (x-2,y-2)[/tex]
Using this rule of translation, the image of (5,−2) is
[tex](5,-2)\to (5-2,-2-2)[/tex]
[tex](5,-2)\to (3,-4)[/tex]
Therefore, the coordinates of the image of the point (5,−2) under the same translation are (3,-4).
