Answer: The coordinates of the reflected points are (4, -1) and (-2 ,6) .
Explanation:
The reflection rule to describe the image of the points that are reflected across the y-axis is given by :_
![(x,y)\to (-x , y)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/u696il59sv4w3pn5wlvbmy32t4cynzyqej.png)
, where (x,y) = Original point
(-x,y) = Image point after reflection.
Given : On a coordinate grid, both point (−4, −1) and (2, 6) point are reflected across the y-axis.
Then, the coordinates of the reflected points are :-
![(-4,\ -1)\to (-(-4) , -1)=)(4,-1)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/yfkhfj4d4fpzvvjhz0osceq0mryqxfyum5.png)
![(2,6)\to(-2,6)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/v9mbs0b1tdjzptkauuaeiiegh9sboc0f48.png)
Hence, the coordinates of the reflected points are (4, -1) and (-2 ,6) .