The line y=2 is a horizontal line parallel to the x-axis. When reflecting a point across this line, the point flips to the other side at the same distance from the line.
When reflecting across a horizontal line y=k, the x-coordinate remains unchanged. The point only moves vertically.
The reflected point will have x=6 (same as the original).
Original point: (6,−3)
Mirror line: y=2
Distance =∣2−(−3)∣
Distance =∣2+3∣
Distance =5 units
The point (6,−3) is 5 units below the line y=2 since −3<2.
The reflected point must be 5 units above the line y=2.
New y-coordinate =2+5
New y-coordinate =7
The reflected point is (6,7).
Alternatively, using the formula for reflection across horizontal line y=k:
New point =(x,2k−y1)
New point =(6,2(2)−(−3))
New point =(6,4+3)
New point =(6,7)