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What is y=-1/3x-9 written in standard form

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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.

User Wilber Paredes
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