Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

rotate point b 90° counter - clockwise about the origin. enter the new …

Question

rotate point b 90° counter - clockwise about the origin. enter the new coordinates. b = (?, )

Explanation:

Step1: Recall rotation rule

The rule for rotating a point $(x,y)$ 90° counter - clockwise about the origin is $(x,y)\to(-y,x)$.

Step2: Identify original coordinates

The original point B has coordinates $(4,3)$, where $x = 4$ and $y=3$.

Step3: Apply the rotation rule

Substitute $x = 4$ and $y = 3$ into the rule. We get $-y=-3$ and $x = 4$.

Answer:

$(-3,4)$