What other points are on the line of direct variation through (5, 12)? check all that apply. (0, 0) (2.5, 6) (3, 10) (7.5, 18) (12.5, 24) (15, 36)

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 this problem we have

the point is on the line of direct variation

so

Find the constant of proportionality k

-------> 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

case A) point

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

-------> is true

therefore

the point is on the line of direct variation

case B) point

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

-------> is true

therefore

the point is on the line of direct variation

case C) point

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

-------> is not  true

therefore

the point is not on the line of direct variation

case D) point

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

-------> is true

therefore

the point is on the line of direct variation

case E) point

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

-------> is not true

therefore

the point   is not on the line of direct variation

case F) point

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

-------> is true

therefore

the point is on the line of direct variation

therefore

the answer is