Question

90° clockwise rotation: $(x,y)→(y, -x)$
what are the coordinates of point $j$ after the rotation?
$(4,5)$ $(5,4)$
$(-5, -4)$ $(-4, -5)$

Explanation:

Step1: Identify the original coordinates

The original coordinates of point \(J\) are \((-4,5)\), so \(x = - 4\) and \(y = 5\).

Step2: Apply the rotation formula

The formula for a \(90^{\circ}\) clockwise rotation is \((x,y)\to(y,-x)\).
Substitute \(x=-4\) and \(y = 5\) into the formula:
The new \(x\)-coordinate is \(y = 5\), and the new \(y\)-coordinate is \(-x=-(-4)=4\).

Answer:

\((5,4)\)