What is the standard form of the equation y = 2x + 3?

What is the standard form of the equation y = 2x + 3?

• A. 2x + y = 3
• B. 2x - y = 3
• C. 2x - y + 3 = 0
• D. y - 2x = 3

Answer: (C)

The standard form of a linear equation is generally expressed as Ax + By = C, where A, B, and C are integers, and A should be a non-negative integer. To convert the equation y = 2x + 3 into standard form, you can start by rearranging the terms. Begin by moving the term involving x to the left side of the equation: y - 2x = 3. Next, rearranging gives you -2x + y = 3. To meet the conventional format (where the coefficient of x is positive), you can multiply the entire equation by -1, resulting in: 2x - y = -3. This form is consistent with the requirements for standard form, although the answer provided is in a slightly different arrangement, 2x - y + 3 = 0. The answer choice C, written as 2x - y + 3 = 0, corresponds to the standard form because it can be rearranged to fit the general Ax + By = C layout. Thus, C accurately reflects the original equation y = 2x + 3 in standard form, verifying that it represents the same relationship in a different format.

The standard form of a linear equation is generally expressed as Ax + By = C, where A, B, and C are integers, and A should be a non-negative integer. To convert the equation y = 2x + 3 into standard form, you can start by rearranging the terms.

Begin by moving the term involving x to the left side of the equation:

y - 2x = 3.

Next, rearranging gives you -2x + y = 3. To meet the conventional format (where the coefficient of x is positive), you can multiply the entire equation by -1, resulting in:

2x - y = -3.

This form is consistent with the requirements for standard form, although the answer provided is in a slightly different arrangement, 2x - y + 3 = 0.

The answer choice C, written as 2x - y + 3 = 0, corresponds to the standard form because it can be rearranged to fit the general Ax + By = C layout.

Thus, C accurately reflects the original equation y = 2x + 3 in standard form, verifying that it represents the same relationship in a different format.