Respuesta :

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required equation is ~

  • [tex]y - 10 = 9(x + 2)[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

The point slope form of a line is ~

  • [tex]y - y_1 = m(x - x_1)[/tex]

m = slope of the line = 9 ~

now, let's plug the values of y1 and x1 according to given information (point (-2 , 10)) to find required equation ~

  • [tex]y - 10 = 9(x - ( - 2))[/tex]

  • [tex]y - 10 = 9(x + 2)[/tex]
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