Question

M is the midpoint of AB. If A is (-3, 2) and M is (1, -4), what is B?

A) B is (5, -10)
B) B is (4, -6)
C) B is (-5, 10)
D) B is (-4, 6)

Answer 1

To find the coordinates of point B, we can use the midpoint formula: M(x, y) = ((x1 + x2)/2, (y1 + y2)/2). Plugging in the values given, we can solve for x2 and y2 to find B.

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) are given by: M(x, y) = ((x1 + x2)/2, (y1 + y2)/2).

In this case, A = (-3, 2) and M = (1, -4). Plugging in these values into the midpoint formula, we get: ((-3 + x2)/2, (2 + y2)/2) = (1, -4).

Solving for x2 and y2, we can find the coordinates of point B:

((-3 + x2)/2, (2 + y2)/2) = (1, -4)

-3 + x2 = 2
x2 = 2 + 3
x2 = 5

2 + y2 = -8
y2 = -8 - 2
y2 = -10

Therefore, the coordinates of point B are (5, -10).