Question

Точка С - середина отрезка АВ, А (-4;3), С (2;1). Найти координаты точки В.

Answer 1

$\\ x= \frac{x1+x2}{2 } \\ 2= \frac{-4+x2}{2} \\ x2=8 \\ x= \frac{y1+y2}{2 } \\ 1= \frac{3+y2}{2} \\ y2=-1$
(8;1)

Answer 2

Given Information

The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) are given by: - xm = (x1 + x2) / 2 - ym = (y1 + y2) / 2

Given points: - A(-4, 3) - C(2, 1)

Calculating the Coordinates of Point B

Using the midpoint formula, we can calculate the coordinates of point B, which is the midpoint of the line segment AC.

Let's calculate the coordinates of point B: - xm = (-4 + 2) / 2 = -1 - ym = (3 + 1) / 2 = 2

Therefore, the coordinates of point B are (-1, 2).

This calculation is based on the midpoint formula and the given coordinates of points A and C.

So, the coordinates of point B are (-1, 2).