Final answer:
To write the equation 1/2x-3y-4=0 in standard form, multiply every term by the denominator to eliminate the fraction, rearrange the variables, and move the constant term to the right side of the equation.
Step-by-step explanation:
To write the equation 1/2x-3y-4=0 in standard form, we need to get rid of the fraction and rearrange the variables. Standard form for a linear equation is Ax + By = C, where A, B, and C are constants and A is positive.
First, let's multiply every term in the equation by the denominator of the fraction to eliminate it:
1(2x) - 1(3y) - 1(4) = 0
This simplifies to:
2x - 3y - 4 = 0
Now, let's move the 2x term to the left side of the equation by adding 2x to both sides:
2x + 2x - 3y - 4 = 0 + 2x
This simplifies to:
4x - 3y - 4 = 0
So, the equation 1/2x-3y-4=0 in standard form is 4x - 3y - 4 = 0.