whats the standard form of a linear equation?

Ax + By + C = 0

The standard form of a linear equation is written as Ax + By = C, where A, B, and C are constants. In this form, both the x and y terms are on the same side of the equation, and the coefficients A and B are integers. The goal is to solve for y in terms of x.

The standard form of a linear equation is written as Ax + By = C, where A, B, and C are constants, and A and B are not both zero. This form represents a straight line on a coordinate plane, where x and y are variables representing the coordinates of points on the line.

To convert a linear equation into standard form, you can follow these steps:

1. Start with the equation in any form, such as slope-intercept form (y = mx + b) or point-slope form (y - y1 = m(x - x1)).
2. Rearrange the equation so that the variables (x and y) are on one side and the constants are on the other side.
3. Ensure that the coefficients (A and B) are integers and that A is positive (if possible) by multiplying the entire equation by an appropriate constant, if necessary.
4. Simplify the equation if needed by combining like terms or canceling out any common factors.

By following these steps, you can transform any linear equation into the standard form.