It is established that
A correlation between two variables, x and y, demonstrates a direct variation if it can be written in the format or
For this question, we have
the point lies on the direct variation line
therefore
Determine the constant of proportionality k
-------> substitute ------>
The equation is
Keep in mind that
If a point is located on the direct variation line
then
the point has to fulfill the direct variation equation
we will now validate each point
case A) point
Insert the values of x and y into the direct variation equation
-------> is valid
thus
the point lies on the direct variation line
case B) point
Insert the values of x and y into the direct variation equation
-------> is valid
thus
the point lies on the direct variation line
case C) point
Insert the values of x and y into the direct variation equation
-------> is not valid
thus
the point does not lie on the direct variation line
case D) point
Insert the values of x and y into the direct variation equation
-------> is valid
thus
the point lies on the direct variation line
case E) point
Insert the values of x and y into the direct variation equation
-------> is not valid
thus
the point does not lie on the direct variation line
case F) point
Insert the values of x and y into the direct variation equation
-------> is valid
thus
the point lies on the direct variation line
ultimately
the solution is