Respuesta :

TheAnimeGirl

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given \: points}}} : [/tex]

  • ( 0 , 2 )
  • ( 2 , 4 )

Let the points ( 0 , 2 ) and ( 2 , 4 ) be A and B respectively. Let A ( 0 , 2 ) ⤑ ( x₁ , y₁ ) & B ( 2 , 4 ) ⤑ ( x₂ , y₂ ). Now , Using two point form of the equation of striaght line , we have :

  • [tex] \boxed{ \sf{ y - y_{1} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} (x - x_{1})}}[/tex]

Plug the values :

⟶ [tex] \tt{y - 2 = \frac{4 - 2}{2 - 0} (x - 0)}[/tex]

⟶ [tex] \tt{y - 2 = \frac{2}{2} x}[/tex]

⟶ [tex] \tt{y - 2 = x}[/tex]

⟶ [tex] \tt{0 = x - y + 2 }[/tex]

[tex] \pink{ \boxed{ \boxed{ \bold{ \tt{our \: final \: answer : \boxed{ \underline{ \tt{x - y + 2 = 0}}}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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