Find the values of non-negative real number `h_1, h_2, h_3, k_1, k_2, k_3` such that the algebraic sum of the perpendiculars drawn from the points `(2,k_1),(3,k_2),*7,k_3),(h_1,4),(h_2,5),(h_3,-3)` on a variable line passing through (2, 1) is zero.

Explanation

To find the values of non-negative real numbers \( h_1, h_2, h_3, k_1, k_2, k_3 \) such that the algebraic sum of the perpendiculars drawn from the points \( (2, k_1), (3, k_2), (7, k_3), (h_1, 4), (h_2, 5), (h_3, -3) \) on a variable line passing through \( (2, 1) \) is zero, we can follow these steps:

### Step 1: Define the variable line
The variable line can be expressed in the general form:
\[ Ax + By + C = 0 \]
Since it passes through the point \( (2, 1) \), we can substitute these coordinates into the line equation:
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