Respuesta :

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

The equation of given line is ~

  • [tex]y = \dfrac{2}{3} x - 1[/tex]

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

Let's use the point slope form of line to find the equation of given line ~

that is ~

  • [tex]y - y_1= m(x - x_1)[/tex]

  • [tex]y - ( - 3) = \dfrac{2}{3} (x - ( - 3))[/tex]

  • [tex]y + 3 = \dfrac{2}{3} (x + 3)[/tex]

  • [tex]y + 3 = \dfrac{2}{3} x + 2[/tex]

  • [tex]y = \dfrac{2}{3} x + 2 - 3[/tex]

  • [tex]y = \dfrac{2}{3} x - 1[/tex]
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