AmnaB527435 AmnaB527435
  • 30-10-2022
  • Mathematics
contestada

Which is the correct equation of the line for the following graph?

Which is the correct equation of the line for the following graph class=

Respuesta :

DorindaY593105 DorindaY593105
  • 30-10-2022

ANSWER :

The equation of the line is y = -3x + 6

EXPLANATION :

Recall the two-point formula :

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

We need two points that lie on the line.

The points are (0, 6) and (2, 0)

Using the formula above :

[tex]\begin{gathered} y-6=\frac{0-6}{2-0}(x-0) \\ \\ y-6=-3x \\ y=-3x+6 \end{gathered}[/tex]

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