The given linear equation y = 2/3x + 6 can be converted to standard form as 2x - 3y = -18.
Converting y = 2/3x + 6 to Standard Form
To convert the equation y = 2/3x + 6 into standard form, follow these steps:
- Start with the given equation: y = 2/3x + 6
- Eliminate the fraction by multiplying every term by 3: 3y = 2x + 18
- Rearrange the equation to get all terms on one side and set it equal to zero: -2x + 3y = 18
- Standard form requires integer coefficients where the coefficient of x is positive. Thus, multiply each term by -1. The final standard form is: 2x - 3y = -18
The standard form of the given linear equation is 2x - 3y = -18.
