Answer:
The co-ordinates of the points (3, 5) and (-2, -4) after reflection are (-3, 5) and (2, -4) respectively.
Explanation:
Given that on a co-ordinate grid, both point (3, 5) and point (−2, −4) are reflected across the y-axis.
We are to find the co-ordinates of the reflected points.
We know that
if a point with co-ordinates (x, y) is reflected across y-axis, then the sigh before the x co-ordinate changes.
That is,
(x, y) -----> (-x, y).
Therefore, the the co-ordinates of the point (3, 5) after reflection is (-3, 5).
And, the co-ordinates of the point (-2, -4) after reflection is (2, -4).
Thus, the co-ordinates of the points (3, 5) and (-2, -4) after reflection are (-3, 5) and (2, -4) respectively.