Respuesta :

Use the slope to do


(-8-0)/(2-0)


-8/2 = -4


The slope is -4


y = -4x

Answer:

The required equation of the line is [tex]y=-4x[/tex]                

Step-by-step explanation:

Given : Points (0,0), (2,-8).

To find : What is the equation of the line ?

Solution :

Applying Two point slope form to find the equation,

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

Where, [tex](x_1,y_1)=(0,0)[/tex] and [tex](x_2,y_2)=(2,-8)[/tex]

Substitute in the formula,

[tex](y-0)=\frac{-8-0}{2-0}(x-0)[/tex]

[tex]y=\frac{-8}{2}x[/tex]

[tex]y=-4x[/tex]

Therefore, The required equation of the line is [tex]y=-4x[/tex]

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