Is 3x-4y=7 a direct variation
Is 6x-3y=0 a direct variation?
the second is a direct variation http://www.jiskha.com/display.cgi?id=1300310346
i need help with inequality
To determine whether an equation represents direct variation, we need to check if the equation can be written in the form y=kx, where k is a constant.
Let's start with the equation 3x - 4y = 7:
Step 1: Isolate the y variable.
Rearrange the equation to solve for y:
-4y = -3x + 7
Step 2: Divide both sides by -4.
This step is necessary to get y alone on one side of the equation:
y = (3/4)x - 7/4
Step 3: Compare the equation to the form y = kx.
By comparing the equation to the form y = kx, we can see that the coefficient of x is 3/4.
Therefore, for the equation 3x - 4y = 7, it does not represent direct variation because the ratio of the coefficients is not constant. In this case, the ratio is 3/4.
Now let's move on to the equation 6x - 3y = 0:
Step 1: Isolate the y variable.
Rearrange the equation to solve for y:
-3y = -6x
Step 2: Divide both sides by -3.
This step is necessary to get y alone on one side of the equation:
y = 2x
Step 3: Compare the equation to the form y = kx.
By comparing the equation to the form y = kx, we can see that the coefficient of x is 2.
Therefore, for the equation 6x - 3y = 0, it represents direct variation because the ratio of the coefficients is constant. In this case, the ratio is 2.
In conclusion, the equation 3x - 4y = 7 does not represent direct variation, while the equation 6x - 3y = 0 does represent direct variation.