Respuesta :

Answer:

[tex]y = -2x - 2[/tex]

Step-by-step explanation:

We can use the point-slope equation of a line to solve this problem, which is:

[tex]y-y_{1} = m(x-x_1)[/tex]

Now, we just fill in three variables: [tex]y_1[/tex], [tex]x_1[/tex], and [tex]m[/tex].

[tex]y_1[/tex] is the y-coordinate, which in this case would be 2.

[tex]x_1[/tex] is the x-coordinate, which in this case would be -2.

[tex]m[/tex] is the slope, which in this case would be -2.

Plugging everything in will give us:

[tex]y - 2 = -2(x - (-2))\\y - 2 = -2x-4\\\\y = -2x - 4 + 2\\y = -2x - 2[/tex]

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