
Geometry: Equation of a inline An equation of the inline containing the two points and may be expressed as the determinant Prove this result by expanding the determinant and comparing the result to the two-point form of the equation of a inline

To find: The result to the two-point form of the equation of a line is same as the expanded form of the determinant equation:
Answer to Problem 57AYU
Explanation of Solution
Expanding the following determinant equation we get,
Moreover we know that an equation of a straight line passing through two points and is:
The above is same as the expanded form of determinant equation.
Hence the proof.
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