Find the coordinates of the point K equidistant from the points A (7; -4), and B (-3; -8) if K belongs to Ox.

We know from the condition that the point K is equidistant from the points with coordinates A (7; -4) and B (-3; -8).

We need to find the coordinates of point K.

That is, we need to find the coordinates of the midpoint of the segment.

There is a formula for this, let’s remember it for two points with coordinates:

A (x1; y1) and B (x2; y2) the middle of the segment has coordinates:

O (x0; y0).

x0 = (x1 + x2) / 2; y0 = (y1 + y2) / 2.

It remains to substitute the values and calculate:

xk = (7 – 3) / 2 = 4/2 = 2;

yk = (-4 – 8) / 2 = -12/2 = -6.

We write down the answer.

Answer: K (2; -6).