Answer:
[tex]B=\frac{4}{3}A[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]k=\frac{y}{x}[/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
In this problem we have a proportional relationship because the line passes through the origin (0,0)
Find the value of k
[tex]k=\frac{B}{A}[/tex]
take the point (3,4)
A=3,B=4
substitute
[tex]k=\frac{4}{3}[/tex]
The equation of the line is
[tex]B=\frac{4}{3}A[/tex]
