Respuesta :

We know the slope is 2 (because it increases 2 units every one unit) and the y-intercept is 0
y = mx + b
where m is the slope and b is the y intercept

y = 2x

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calculista

we know that

The equation of the line in the graph passes through the point [tex](0,0)[/tex]

so

the linear equation represent a direct variation  

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

the constant of proportionality k is equal to the slope

We need only one point to determine the equation of the line

Let

[tex]A(1,2)[/tex]

so

[tex](x,y)=(1,2)[/tex]

Divide the y-coordinate by the x-coordinate to find the slope

[tex]m=\frac{y}{x}[/tex]

[tex]m=\frac{2}{1}=2[/tex]

the equation is

[tex]y=2x[/tex]

therefore

the answer is

the equation of the line is

[tex]y=2x[/tex]

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