Final answer:
The standard form of the equation y = -3/10x - 8 is found by clearing the fraction, rearranging the terms, and ensuring integer coefficients, which results in 3x + 10y = -80.
Step-by-step explanation:
The standard form of the equation y = -3/10x - 8 involves rearranging the equation so that it matches the general standard form of a line, which is Ax + By = C, where A, B, and C are integers. To convert the given equation into standard form:
- Multiply both sides of the equation by 10 to clear the fraction: 10y = -3x - 80.
- Rearrange the equation so that the x-term is on the left side of the equation: 3x + 10y = -80.
- If necessary, you can multiply the entire equation by -1 to make the A term positive: -3x - 10y = 80 becomes 3x + 10y = -80.
This final equation, 3x + 10y = -80, is the standard form of the original equation.