Question

give the coordinates of the point obtained from each reflection.
(a) reflect the point (-6, 9) across the x - axis.
(b) reflect the point (-6, 9) across the y - axis.

Explanation:

Step1: Recall reflection rule for x - axis

When reflecting a point $(x,y)$ across the $x$-axis, the $x$-coordinate remains the same and the $y$-coordinate changes its sign. Given the point $(-6,9)$, for reflection across the $x$-axis, the new point is $(-6,- 9)$.

Step2: Recall reflection rule for y - axis

When reflecting a point $(x,y)$ across the $y$-axis, the $y$-coordinate remains the same and the $x$-coordinate changes its sign. Given the point $(-6,9)$, for reflection across the $y$-axis, the new point is $(6,9)$.

Answer:

(a) $(-6,-9)$
(b) $(6,9)$