Respuesta :

Answer:

The equation of the line is [tex]y=-2x-8[/tex]

Step-by-step explanation:

Given slope [tex]m=-2[/tex]

and y-intercept [tex]=(0,-8)[/tex]

ie, y-intercept [tex]c=-8[/tex]

The slope intercept form of the line is [tex]y=mx+c[/tex] where m is slope and c is y-intercept.

Now  we can find the equation of the line with slope and y-intercept.

By substituting the values of m and c in equation (1)

(1)      [tex]y=mx+c[/tex]

        [tex]y=(-2)x+(-8)[/tex]

        [tex]-2x-8[/tex]   Which is the required equation of the line

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