Answer:
The function represents a direct variation
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 or
In a linear direct variation the line passes through the origin and the constant of proportionality k is equal to the slope m
Let
------> the line passes through the origin
Find the value of k------> substitute the value of x and y
----->
Find the value of k------> substitute the value of x and y
----->
Find the value of k------> substitute the value of x and y
----->
Find the value of k------> substitute the value of x and y
----->
The value of k is equal in all the points of the table and the line passes through the origin
therefore
The function represents a direct variation
the equation of the direct variation is equal to