is this a direct variation?
5x + 2y = 9
that is so NOT how you do it
yes, it is a direct variation.
Hmm - I would say no. Does not pass through (0,0)
To determine if the equation 5x + 2y = 9 represents a direct variation, we need to check if there is a constant ratio between the variables x and y.
In a direct variation, the ratio of y to x remains constant, which can be written as y = kx, where k is the constant of variation.
Let's rearrange the equation 5x + 2y = 9 to isolate y:
2y = 9 - 5x
Divide both sides by 2:
y = (9 - 5x)/2
Now we can compare this equation to the form of a direct variation, y = kx.
In our case, k = (9 - 5x)/2.
Since the value of k is not a constant, but depends on the value of x, we can conclude that the equation 5x + 2y = 9 does not represent a direct variation.