Question

in the xy - plane, what will be the coordinates of the point (-6,-5) after a clockwise rotation of 90 degrees about the origin?
(-6,5)
(-5,6)
(6,5)
(5,-6)
select

Explanation:

Step1: Recall the rotation formula

When a point \((x,y)\) is rotated \(90^{\circ}\) clockwise about the origin, the new coordinates \((x',y')\) are given by the formula \(x'=y\) and \(y'=-x\).

Step2: Substitute the values

Given the point \((-6,-5)\), here \(x = - 6\) and \(y=-5\).
Using the formula:
\(x'=-5\) (since \(x' = y\))
\(y'=-(-6)=6\) (since \(y'=-x\))

Answer:

\((-5,6)\)