Question

M(10,-4) is the middle of line AB. If A is at the point (-12,18) find the coordinates of B.

Answer 1

The coordinates of point B are (-2, 7).

Step-by-step explanation:

To find the coordinates of point B, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint M between two points A(x1, y1) and B(x2, y2) can be found by taking the average of the x-coordinates and the average of the y-coordinates of points A and B. In this case, the coordinates of point A are (-12, 18) and the coordinates of point M are (10, -4). We can plug these values into the midpoint formula to calculate the coordinates of point B as follows:

x-coordinate of B = (x-coordinate of A + x-coordinate of M) / 2 = (-12 + 10) / 2 = -2

y-coordinate of B = (y-coordinate of A + y-coordinate of M) / 2 = (18 + (-4)) / 2 = 14 / 2 = 7

Therefore, the coordinates of point B are (-2, 7).