Question

point b is reflected across the line ( x = -y ). what are the coordinates of the new point?

b ( (-4,0) )

( (0,4) )

( (0,-4) )

( (4,0) )

( (-4,0) )

Explanation:

Step1: Recall the reflection formula

The formula for reflecting a point \((x,y)\) across the line \(x = -y\) is \((-y,-x)\).

Step2: Apply the formula to point \(B(-4,0)\)

Here \(x=-4\) and \(y = 0\). Substitute into the formula: \((-0,-(-4))=(0,4)\)

Answer:

\((0,4)\)