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Answer :

Given data:

The first point given is (10, 1).

The second point given is (-4, -10).

The expression for the equation of the line passing through the given points is,

[tex]\begin{gathered} y-1=\frac{-10-1}{-4-10}(x-10) \\ y-1=\frac{-11}{-14}(x-10) \\ 14y-14=11x-110 \\ 11x-14y-96=0 \end{gathered}[/tex]

Thus, the equation of the line passing through the given points is 11x-14y-96=0.