Question

Hey Guys...I need help again... Which graph represents a proportional relationship?

Answer 1

Answer:

A

Step-by-step explanation:

For a graph to be representative of a proportional relationship, it must meet the following criteria:

1) It is a straight line.

2) It passes through the origin point (0,0).

3) It is neither horizontal nor vertical*.

We can see that D is not a line. So, D is not a proportional relationship.

We can also see that B and C are vertical and horizontal, respectively. They also do not cross the origin.

The only choice that is a straight line and also crosses through the origin point is A.

So, our answer is A.

And we're done!

*Note: Vertical lines are not proportional because they are not a function.

Horizontal lines are not proportional because they has a constant of proportionality of 0, which can't be the case.

Answer 2

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

It's the first one because a graph that represents a proportional relationship must be a straight line that pass through the origin and pass the vertical line test.

Tip: The vertical line test is when you take a vertical line and move it through the line if the line touches in to places it doesn't pass the vertical line test.

So if you look at the second one. It is a straight line so that's good, but it doesn't pass the vertical line test and it also doesn't pass through the origin. So that's out

Next we should check the third one. It's a straight line that passes the vertical line test, but it doesn't pass through the origin.

Finally we will check the last one. It does pass through the origin and it passes the vertical line test, but it isn't straight.

So therefore the first one is the only one that has all those rules that a proportional line must have.