we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form  or
 or 
in this problem we have
the point  is on the line of direct variation
 is on the line of direct variation
so
Find the constant of proportionality k
 -------> substitute ------>
-------> substitute ------> 
the equation is

Remember that
If a point is on the line of direct variation
then 
the point must satisfy the equation of direct variation
we're proceeding to verify each point
<u>case A)</u> point 

Substitute the value of x and y in the direct variation equation

 -------> is true
 -------> is true
therefore
the point  is on the line of direct variation
 is on the line of direct variation
<u>case B)</u> point 

Substitute the value of x and y in the direct variation equation

 -------> is true
 -------> is true
therefore
the point  is on the line of direct variation
 is on the line of direct variation
<u>case C)</u> point 

Substitute the value of x and y in the direct variation equation

 -------> is not  true
 -------> is not  true
therefore
the point  is not on the line of direct variation
 is not on the line of direct variation
 <u>case D)</u> point 

Substitute the value of x and y in the direct variation equation

 -------> is true
 -------> is true
therefore
the point  is on the line of direct variation
 is on the line of direct variation
 <u>case E)</u> point 

Substitute the value of x and y in the direct variation equation

 -------> is not true
 -------> is not true
therefore
the point   is not on the line of direct variation
 is not on the line of direct variation
 <u>case F)</u> point 

Substitute the value of x and y in the direct variation equation

 -------> is true
 -------> is true
therefore
the point  is on the line of direct variation
 is on the line of direct variation
therefore
<u>the answer is</u>
 


