Question

Помогите пожалуйста) Найти середину отрезка ВК,если В(-6;2), К(3;-8)

Answer 1

O = 1/2(B + K) = 1/2(-6+3; 2-8) = 1/2(-3; -6) = (-3/2; -3)

Answer 2

Finding the Midpoint of a Line Segment

To find the midpoint of a line segment with endpoints \( V(-6, 2) \) and \( K(3, -8) \), we can use the midpoint formula:

Midpoint Formula: The midpoint \( M \) of a line segment with endpoints \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by: \[ M\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right) \]

Applying the Midpoint Formula

Using the given endpoints \( V(-6, 2) \) and \( K(3, -8) \), we can calculate the midpoint \( M \) as follows:

\[ M\left(\frac{-6 + 3}{2}, \frac{2 + (-8)}{2}\right) \]

\[ M\left(\frac{-3}{2}, \frac{-6}{2}\right) \]

\[ M\left(-\frac{3}{2}, -3\right) \]

So, the midpoint \( M \) of the line segment with endpoints \( V(-6, 2) \) and \( K(3, -8) \) is \( M\left(-\frac{3}{2}, -3\right).