Respuesta :

Given:-

[tex](-6,6)(9,1)[/tex]

To find the point-slope form.

So we use the formula,

[tex](y-y_1)=m(x-x_1)[/tex]

So to calculate m. we use the formula,

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substituting the values. we get,

[tex]m=\frac{1-6}{9+6}=-\frac{5}{15}=-\frac{1}{3}[/tex]

So now we substiute it. so we get,

[tex]y-1=-\frac{1}{3}(x-9)[/tex]

This is the required solution.

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