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]
