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Fill in the missing values to write the equation of the line, in STANDARD FORM, using the given information.

y=2/3x−1

1 Answer

4 votes

Final Answer:

The equation of the line is:


\[2x - 3y = 3\]

Step-by-step explanation:

The given equation is
\(y = (2)/(3)x - 1\). To convert it to standard form
(\(Ax + By = C\)),we need to eliminate fractions and rearrange the terms. First, multiply both sides by 3 to get rid of the fraction in the equation:
\(3y = 2x - 3\). Next, move all terms to one side of the equation to achieve the standard form:
\(2x - 3y = 3\).

In standard form, the coefficients A, B, and C must be integers, and A should be positive. In our final answer,
\(2x - 3y = 3\), A is 2, B is -3, and C is 3, satisfying the requirements for standard form. This form is preferred in many mathematical contexts as it simplifies comparisons and calculations, making it a more convenient representation for the given equation.

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