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

Here's the solution :

slope of the line is equal to :

  • [tex] \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

  • [tex] \dfrac{4 - 1}{0 - ( - 1)} [/tex]

  • [tex] \dfrac{3}{1} [/tex]

  • [tex]3[/tex]

slope of given line = 3

Take 2points

  • (0,4)
  • (-2,-2)

[tex]\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{-2-4}{-2-0}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{-6}{-2}[/tex]

[tex]\\ \sf\longmapsto m=3[/tex]

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