The line $L_{1}$ is given by $3x - ky = 12$. A second line $L_{2}$ passes through the point $(2,-1)$ and is perpendicular to $L_{1}$. Find the value of $k$ for which the intersection point of $L_{1}$ and $L_{2}$ has integer coordinates, and state those coordinates.

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k = 6, intersection point (2, -1)

Gce Model Questions Vol1 2021 Mathematics Question 25

The line \(L_{1}\) is given by \(3x - ky = 12\). A second line \(L_{2}\) passes through the point \((2,-1)\) and is perpendicular to \(L_{1}\). Find the value of \(k\) for which the intersection point of \(L_{1}\) and \(L_{2}\) has integer coordinates, and state those coordinates.

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