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Solution

✅ Correct Option: 2

The line y=2y = 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=ky = k, the x-coordinate remains unchanged. The point only moves vertically.

The reflected point will have x=6x = 6 (same as the original).


Original point: (6,−3)(6, -3)

Mirror line: y=2y = 2

Distance =∣2−(−3)∣= |2 - (-3)|

Distance =∣2+3∣= |2 + 3|

Distance =5= 5 units

The point (6,−3)(6, -3) is 55 units below the line y=2y = 2 since −3<2-3 < 2.


The reflected point must be 55 units above the line y=2y = 2.

New y-coordinate =2+5= 2 + 5

New y-coordinate =7= 7


The reflected point is (6,7)(6, 7).

Alternatively, using the formula for reflection across horizontal line y=ky = k:

New point =(x,2k−y1)= (x, 2k - y_1)

New point =(6,2(2)−(−3))= (6, 2(2) - (-3))

New point =(6,4+3)= (6, 4 + 3)

New point =(6,7)= (6, 7)

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