Question

rotate the given point by applying the following rule: 270 degrees counterclockwise (x, y) -> (y, -x)

Explanation:

Step1: Identify the original point

From the graph, the original point has coordinates \((3, 4)\) (assuming the x - coordinate is 3 and y - coordinate is 4, as it is 3 units to the right of the origin on the x - axis and 4 units up on the y - axis).

Step2: Apply the rotation rule

The rule for a 270 - degree counterclockwise rotation is \((x,y)\to(y, - x)\). For the point \((x = 3,y = 4)\), substituting into the rule:

• The new x - coordinate is \(y=4\)
• The new y - coordinate is \(-x=- 3\)

Answer:

The new coordinates after a 270 - degree counterclockwise rotation are \((4,-3)\)