Answer:
[tex]y=2x[/tex]
Step-by-step explanation:
we have that
For [tex]x=2, y=4[/tex]
so
[tex]\frac{y}{x}=\frac{4}{2}=2[/tex]
For [tex]x=4, y=8[/tex]
so
[tex]\frac{y}{x}=\frac{8}{4}=2[/tex]
For [tex]x=6, y=12[/tex]
so
[tex]\frac{y}{x}=\frac{12}{6}=2[/tex]
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
The ordered pairs represent a direct variation
The equation is equal to
[tex]y=kx[/tex]
The value of k is equal to [tex]k=2[/tex]
substitute
[tex]y=2x[/tex]
