Create a purely visual representation of a mathematical problem. The image is relevant to the concept of direct variation in algebra including a simple equation with two variables such as x and y. The graphical view presents a linear function, indicating a possible relationship between two variables. The image design hints towards a decision, suggesting the user to determine if this chart represents a direct variation or not and find the constant of variation. The feeling of the image should be academic and engaging, using a palette of pastel colors usually found in educational settings.

Does the equation represent a direct variation? If so, find the constant of variation.

5x = -3y
A. yes; k = 5/3
B. yes; k = -5/3
C. yes; k = 3/5
D. no

The answers to "Lesson 2 Direct Variation" is:

1. B.
2. D.
3. B.
4. A.
5. C.

Zinact is correct so thank you 🙏🏽

yes, y=-5/3 x

1. Does the equation represent a direct variation? If so, find the constant of variation.

5x = –3y

Zinact is 💯% correct

zinact is still 100% correct 😏😼

To determine if the equation represents a direct variation, we need to check if it can be written in the form y = kx, where k is a constant of variation.

In the given equation 5x = -3y, we can start by isolating y.

Dividing both sides of the equation by -3 gives us:
-3y = 5x

Now, let's isolate y by dividing both sides by -3:
y = (-5/3)x

Comparing this to the standard form y = kx, we can see that k is equal to -5/3.

Therefore, the equation represents a direct variation with the constant of variation k = -5/3.

So, the correct answer is B. yes; k = -5/3.