is 3x=4y-7 a direct variation why or why not?
Not a DV, I see a constant used as an addition/subtraction
To determine whether the equation 3x = 4y - 7 represents a direct variation, we need to check if it follows the form y = kx, where k is a constant.
Let's rearrange the equation to a standard form of y = kx.
Starting with 3x = 4y - 7, we can isolate y by moving the terms involving y to the left side of the equation:
4y = 3x + 7
Next, divide both sides of the equation by 4 to solve for y:
y = (3/4)x + 7/4
Now we have the equation in the form y = kx, where k = 3/4.
Since the equation matches the form of a direct variation, with a constant of k = 3/4, we can conclude that 3x = 4y - 7 represents a direct variation.