Answer:
[tex]y=\frac{7}{2}x[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]
In a direct relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
step 1
Find the value of the constant of proportionality k
we have
the ordered pair (2, 7)
so
[tex]k=\frac{y}{x}[/tex] -----> [tex]k=\frac{7}{2}[/tex]
therefore
The relation is
[tex]y=kx[/tex] -----> [tex]y=\frac{7}{2}x[/tex]
