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.
