Final answer:
To convert y = -1/3x - 9 into standard form, multiply by -3, rearrange the terms to get -x - 3y = 27, and then multiply by -1 to get x + 3y = -27.
Step-by-step explanation:
The student is asking how to rewrite the equation y = -1/3x - 9 into standard form.
The standard form of a linear equation is usually written as Ax + By = C, where A, B, and C are integers, and A should be non-negative.
To convert the given equation into standard form, we want to rearrange it so that x and y are on the same side and the coefficients are whole numbers. Here's how you can do it step by step:
- Multiply both sides by -3 to eliminate the fraction: -3y = x + 27.
- Next, we want to get the x term on the left side of the equation, so we subtract x from both sides: -x - 3y = 27.
- Finally, to satisfy the condition that A should be non-negative, we multiply the entire equation by -1: x + 3y = -27.
The equation y = -1/3x - 9 written in standard form is x + 3y = -27.