Question

suppose line m is the line with the equation x = -5, line n is the line with the equation y = 1, line g is the line with the equation y = x, and line h is the line with the equation y = -2. given a(9, -3), b(6,4), and c(-1, -5), what are the coordinates of the vertices of △abc for the reflection h?
a(9, -1)
(type an ordered pair.)
b
(type an ordered pair.)

Explanation:

Step1: Reflect point \( B(6,4) \) over the line \( y = - 2 \)

The formula for reflecting a point \((x,y)\) over the line \(y = k\) is \((x,2k - y)\). Here \(k=-2\), \(x = 6\), \(y = 4\).

$$2k-y=2\times(-2)-4=-4 - 4=-8$$

So \(B'=(6,-8)\)

Answer:

\(B'(6,-8)\)