Step 1. The point we have is:
[tex](5,-5)[/tex]
We will label this point as (x, y):
[tex]\begin{gathered} (x,y)\to(5,-5) \\ x=5 \\ y=-5 \end{gathered}[/tex]
Step 2. We need to make a rotation of this point about the origin,
The rule for a rotation of 90° about the origin clockwise is:
[tex]\boxed{(x,y)\longrightarrow(y,-x)}[/tex]
Step 3. Applying the transformation from step 2 to the point from step 1:
[tex]\begin{gathered} \boxed{(x,y)\longrightarrow(y,-x)} \\ \boxed{(5,-5)\longrightarrow(-5,-5)} \end{gathered}[/tex]
We put the old y-value in the place of the new x-value, and we put the old x-value in the place of the new y-value with the opposite sign.
(-5,-5) is the result.
Answer:
(-5, -5)
