Answer:
(5, -4)
Explanation:
Given the point:
[tex](8,-10)[/tex]
If a point (x,y) is reflected over the line y=-x,the transformation rule is:
[tex](x,y)\to(-y,-x)[/tex]
Thus, we have:
[tex](8,-10)\to(10,-8)[/tex]
Next, a dilation by a constant factor 1/2 gives us:
[tex]\begin{gathered} (\frac{10}{2},-\frac{8}{2}) \\ =(5,-4) \end{gathered}[/tex]
The image point is (5,-4).
