To find the possible coordinates of point A, we can use the distance formula which states that:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
We know the coordinates of point B are (4, 1), and the x-coordinate of point A is -2. Let's assume the coordinates of point A are (x, y). Using the distance formula, we can write:
10 = sqrt((4 - (-2))^2 + (1 - y)^2)
Simplifying the equation, we get:
100 = (4 - (-2))^2 + (1 - y)^2
100 = 36 + (1 - y)^2
64 = (1 - y)^2
Taking the square root of both sides, we get:
8 = 1 - y or 8 = y - 1
Solving for y in each case, we get:
y = -7 or y = 9
Therefore, the POSSIBLE COORDINATES of POINT A: are (-2, -7) and (-2, 9).
I hope this helps!