Question

The midpoint of line AB is M(6, -1). If the coordinates of A are (4, -4), what are the coordinates of B?

Answer 1

The coordinates of point B are (8, 2).

Step-by-step explanation:

The midpoint of line AB is M(6, -1). If the coordinates of A are (4, -4), the coordinates of B can be found by using the midpoint formula: xm = (x1 + x2)/2 and ym = (y1 + y2)/2.

Using the given coordinates, we can substitute in the values: 6 = (4 + x2)/2 and -1 = (-4 + y2)/2.

Solving these equations, we find that the coordinates of B are (8, 2).