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.