Answer:
[tex](3,-4)[/tex]
Step-by-step explanation:
We have the equations
[tex]x_{1} =x+1\\y_{1}=y-1[/tex]
Which are the coordinates for the point [tex]A_{1}[/tex].
We know by given that [tex]A(2,-3)[/tex], which means [tex]x=2[/tex] and [tex]y=-3[/tex].
Replacing these values in the equations, we have
[tex]x_{1} =x+1 \implies x_{1} =2+1=3\\y_{1}=y-1 \implies y_{1}=-3-1=-4[/tex]
Therefore, the coordinates for point [tex]A_{1}[/tex] are [tex](3,-4)[/tex].
