What are the coordinates of a point symmetric to point A (−3; −1) relative to the straight line given by the equation y = 2?

Let us define what are the coordinates of the point symmetric to point A (−3; −1) relative to the straight line given by the equation y = 2.

First, we determine the distance from the straight line y = 2 to the point A (−3; −1). The point is 3 units away. This means that the y coordinate relative to the straight line is as follows: y = 2 + 3 = 5.

Since we find a symmetrical point, the x coordinate remains the same, that is, x = – 3.

From this, we obtained the coordinates of the point A1 (- 3; 5), which is symmetric to the point A (−3; −1), relative to the straight line y = 2.

Answer: A1 (- 3; 5).