Web Analytics

Verified Answer :

The correct
answer between all the choices given are the letters B and E. I am
hoping that this answer has satisfied your query and it will be able to help
you in your endeavor, and if you would like, feel free to ask another question.

Answer:

B. \((3,15)\)

E. \((-1,-5)\)

Step-by-step explanation:

we have

\(y=5x\) -----> represent a linear direct variation

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form \(y/x=k\) or \(y=kx\)

In this problem we have

\(k=y/x=5\)

Verify each case

Point A \((0,1)\)

\(k=y/x=1/0\) ---->  k is undefined

Point B \((3,15)\)

\(k=y/x=15/3=5\) -----> the point is on the given line

Point C \((4,2)\)

\(k=y/x=2/4=0.5\) -----> the point is not on the given line

Point D \((3,6)\)

\(k=y/x=6/3=2\) -----> the point is not on the given line

Point E \((-1,-5)\)

\(k=y/x=-5/-1=5\) -----> the point is on the given line

Point F \((-1,5)\)

\(k=y/x=5/-1=-5\) -----> the point is not on the given line