Answer:
\(y=2x\)
Step-by-step explanation:
we have that
For \(x=2, y=4\)
so
\(\frac{y}{x}=\frac{4}{2}=2\)
For \(x=4, y=8\)
so
\(\frac{y}{x}=\frac{8}{4}=2\)
For \(x=6, y=12\)
so
\(\frac{y}{x}=\frac{12}{6}=2\)
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form \(y/x=k\) or \(y=kx\)
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
\(y=kx\)
The value of k is equal to \(k=2\)
substitute
\(y=2x\)
