abigailroyandoyan
abigailroyandoyan abigailroyandoyan
  • 26-02-2021
  • Mathematics
contestada

Write an
equation that represents the line.
Use exact numbers.

Write an equation that represents the line Use exact numbers class=

Respuesta :

erinna erinna
  • 03-03-2021

Given:

The graph of a line.

To find:

The equation of the line.

Solution:

From the given graph it is clear that the line passes through the points (0,2) and (3,-2). So, the equation of the line is:

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

[tex]y-2=\dfrac{-2-2}{3-0}(x-0)[/tex]

[tex]y-2=\dfrac{-4}{3}x[/tex]

Adding 2 on both sides, we get

[tex]y=-\dfrac{4}{3}x+2[/tex]

Therefore, the equation for the given line is [tex]y=-\dfrac{4}{3}x+2[/tex].

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