Given:
The point is located at P(4,7).
It is translated along [tex]\left<1,3\right>[/tex].
To find:
The image of the given point after the translation.
Solution:
The point is translated along [tex]\left<1,3\right>[/tex]. So, the rule of translation is defined by:
[tex](x,y)\to (x+1,y+3)[/tex]
The point is located at P(4,7).
Using the above rule, we get
[tex]P(4,7)\to P'(4+1,7+3)[/tex]
[tex]P(4,7)\to P'(5,10)[/tex]
The image of given point after the translation is (5,10).
Therefore, the correct option is A.
