Find the coordinates of the image after the reflection in the given line (matrix)

[-3, -1, 0, 4, 7]

[5, -6, 1, 3, 9]

y = -x

SOLUTION

The coordinates $(x; y)$ after the reflection in the given line $y = -x$ move to $(-y; -x)$

$(-3; 5) \rightarrow (-5; 3)$;

$(-1; -6) \rightarrow (6; 1)$;

$(0; 1) \rightarrow (-1; 0)$;

$(4; 3) \rightarrow (-3; -4)$;

$(7; 9) \rightarrow (-9; -7)$;