Respuesta :

sqdancefan
Since the line goes through the points (0, 0) and (1, 4), the equation that applies is ...
   y = 4x
kudzordzifrancis
ANSWER

The equation is

[tex]y = 4x[/tex]

EXPLANATION


The given function goes through the origin so its equation is of the form

[tex]y = mx[/tex]


where m is the slope of the graph of the function.



Since the straight line goes through


[tex](0,0) \: and \: (2,8)[/tex]

we can use these points to determine the slope using the slope formula

[tex]m = \frac{y_2-y_1}{x_2-x_1} [/tex]

This implies that,

[tex]m = \frac{8 - 0}{2 - 0} [/tex]

[tex]m = \frac{8}{2} = 4[/tex]


We substitute the slope into the formula to get,

[tex]y = 4x[/tex]
as the required equation.

Therefore the correct answer is D.

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