Answer:
(2,2)
Explanation:
The point (2, –4) is reflected across the line y = –1.
y=-1 is horizontal line.
Let coordinate of image (a,b)
Point (2,-4) reflected about y=-1.
When point reflect about the horizontal line their x-coordinate doesn't change. a=2
Only change in y-coordinate.
First we find the distance of y-coordinate from the line y=-1
Distance = |-4 - (-1) | = |-3| = 3
Point (2,-4) is 3 unit below the line y=-1
Image of this point must be 3 unit above the y=-1
3=|b-(-1)|
3=b+1
b=2
Hence, The coordinate of image of given point is (2,2)