Given the coordinates X (0,0), Y (6,3), and Z (1.5, 0.75). Find the ratio where point Z partitioned segment XY. Show work please

Given:

The coordinates are X (0,0), Y (6,3), and Z (1.5, 0.75).

To find:

The ratio where point Z partitioned segment XY.

Solution:

Section formula: If a point divides a line segment is m:n, then

Let point Z partitioned segment XY in k:1.

Using section formula, we get

On comparing both sides, we get

Divide both sides by 4.5.

So, the required ratio is

Therefore, point Z partitioned segment XY in 1:3.

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step-by-step explanation: