Question

Study the graph below.

Answer 1

Answer:

$B=\frac{4}{3}A$

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 $k=\frac{y}{x}$ 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

In this problem we have a proportional relationship because the line passes through the origin (0,0)

Find the value of k

$k=\frac{B}{A}$

take the point (3,4)

A=3,B=4

substitute

$k=\frac{4}{3}$

The equation of the line is

$B=\frac{4}{3}A$