Question

Даны точки А(-7;-3) и М середина отрезка АВ. Найдите координаты точки В​

Answer 1

от удвоенных координат середины отнимите координаты точки А

Answer 2

Given Information:

We are given the coordinates of point A as (-7, -3) and point M as the midpoint of segment AB. We need to find the coordinates of point B.

Solution:

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 using the following formulas:

x-coordinate of M = (x1 + x2) / 2 y-coordinate of M = (y1 + y2) / 2

In this case, we know the coordinates of point A (-7, -3) and the coordinates of point M (which is the midpoint). Let's denote the coordinates of point B as (x, y).

Using the midpoint formula, we can set up the following equations:

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

Substituting the known values, we have:

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

Plugging in the values, we get:

(-7 + x) / 2 = x-coordinate of M (-3 + y) / 2 = y-coordinate of M

Now, we can solve these equations to find the values of x and y.

Let's start with the first equation:

(-7 + x) / 2 = x-coordinate of M

Multiplying both sides by 2:

-7 + x = 2 * x-coordinate of M

Simplifying:

x = 2 * x-coordinate of M + 7

Now, let's move on to the second equation:

(-3 + y) / 2 = y-coordinate of M

Multiplying both sides by 2:

-3 + y = 2 * y-coordinate of M

Simplifying:

y = 2 * y-coordinate of M + 3

Therefore, the coordinates of point B are (x, y), where:

x = 2 * x-coordinate of M + 7 y = 2 * y-coordinate of M + 3

Please provide the coordinates of point M so that we can calculate the coordinates of point B.