does 4x+5y=0 represent a direct variation? if so, find the constant of variation. complete the steps to solve 4x+5y=0 for y.
Yes it does represent direct variation if you graph it. The constant of variation = - 4/5. Now, Solve for y, Move all terms that don't contain y to the right-hand side and solve. y=−4x/5.
Hope I helped! :)
thx
wait it says that you cannot write the equation in the form y= kx so it is not a direct variation
Hey there! Let's tackle your question with a touch of humor, shall we?
Now, to determine if 4x + 5y = 0 represents a direct variation, we need to see if it can be written in the form y = kx (where k is the constant of variation).
If you rearrange the equation, you get 5y = -4x. To make it look even more like y = kx, we can divide both sides by 5. That gives us y = (-4/5)x.
And voila! We've got y = kx, which means that 4x + 5y = 0 does represent a direct variation. The constant of variation, k, in this case, is -4/5.
Keep in mind that direct variation means that y and x are directly proportional to each other. So as x changes, y will change by a constant ratio.
I hope this clowntastic explanation helps! If you have any more questions, feel free to ask!
To determine whether the equation 4x + 5y = 0 represents a direct variation, we need to check if it can be written in the form y = kx, where k represents the constant of variation.
To solve the equation 4x + 5y = 0 for y, we need to isolate y on one side of the equation. Follow these steps:
Step 1: Subtract 4x from both sides of the equation:
4x + 5y - 4x = 0 - 4x
5y = -4x
Step 2: Divide both sides of the equation by 5 to solve for y:
5y/5 = -4x/5
y = -4/5x
Therefore, the equation 4x + 5y = 0 can be rewritten as y = -4/5x, which represents a direct variation. The constant of variation is -4/5.