Question

How to convert an equation to standard form

Answer 1

To convert an equation to standard form, you need to follow these steps:

1. Move all the variables to one side of the equation and all the constants to the other side. For example, if you have the equation y = 2x + 3, you can move the 2x term to the left side by subtracting 2x from both sides: -2x + y = 3.

2. Simplify the equation so that it is in the form of Ax + By = C. In the example above, you can simplify the equation by multiplying both sides by -1: 2x - y = -3. This equation is now in standard form, where A = 2, B = -1, and C = -3.

3. Make sure that A, B, and C are integers. If they are not, multiply the entire equation by the least common multiple of the denominators to make them integers.

4. If the equation is a line, you can find the x and y intercepts by setting one variable to zero and solving for the other variable.

Answer 2

Answer: The standard form of a linear equation is Ax+By=C. To change an equation written in slope-intercept form (y=mx+b) to standard form, you must get the x and y on the same side of the equal sign and the constant on the other side. Use inverse operations to move terms.