a point C with z coordinate 8 lies on the line segment joining the points A(2,-3,4) and B(8,0,10) find its coordinate?...plz its urgent can u solve it plzz

We know that:

The coordinates of the point that divides the line segment joining the points A(x₁, y₁, z₁) and B(x₂, y₂, z₂) internally in the ratio m: n are given by
. This formula is known as the section formula.

Given points are:  A(2, -3, 4) and B(8, 0, 10)

x₁= 2, y₁= -3 z₁ = 4

x₂= 8, y₂= 0 z₂ = 10

Also, z coordinate of third point, say C, is 8.

Let C intersects AB in the ratio m : n.

Therefore, 

Coordinate of point C are as (6, -1, 8).