Question

Given point B is located at

Answer 1

Answer: $\Large\boxed{Point~B'~=~(-4,~-2)}$

Step-by-step explanation:

Given information

Point B = (-2, -4)

Reflection line: y = x

Concept:

When reflecting over the line y = x, the position of y and x in the original coordinate switches places.

This is because it is " y = x ", assuming that they could interchange

Find the coordinate of Point B'

Original (x, y) = (-2, -4)

Point B' = (x', y') = (y, x) = $\Large\boxed{(-4,~-2)}$

Please refer to the attachment below for a graphical understanding

Hope this helps!! :)

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