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Answer :

The point-slope form is;

[tex]y-4\text{ = -2(x+11)}[/tex]

Here, we want to write the slope intercept formula for the given line and point

We have the general point-slope form as;

[tex]\begin{gathered} y-y_1=m(x-x_1) \\ \\ m\text{ is slope = -2} \\ (x_1,y_1)\text{ = (-11,4)} \\ \\ y-4\text{ = -2(x-(-11))} \\ y\text{ - 4 = -2(x+11)} \end{gathered}[/tex]