AnnaliciaW134038 AnnaliciaW134038
  • 03-11-2022
  • Mathematics
contestada

Find the equation of this line.(2,2) and (0,-4)

Respuesta :

ArletK492621 ArletK492621
  • 03-11-2022

To find the equation;

x₁ = 2 y₁ = 2 x₂ = 0 y₂=-4

we will use the formula;

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x_{}-x_1)[/tex]

substituting the values into the above;

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

Then, we will go ahead and evaluate;

[tex]y-2\text{ = }\frac{-6}{-2}(x-2)[/tex]

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

y - 2 = 3x - 6

add 2 to both-side of the equation

y = 3x -6+ 2

y = 3x -4

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