The standard form of a linear equation is typically expressed as Ax + By = C, where A, B, and C are constants and x and y are variables.
To convert the equation from slope-intercept form to standard form, we can begin by manipulating the equation to get all the terms on one side.
For example, given the equation y = 2x + 3, we can subtract 2x from both sides to get -2x + y = 3.
In general, to convert an equation from slope-intercept form to standard form, we use the following steps:
1. Isolate the y-term on one side of the equation.
2. Rewrite the expression for y as mx + b, where m represents the coefficient of x (the slope) and b represents the y-intercept.
3. Move all the terms to one side of the equation, creating a linear equation in the form of Ax + By = C.
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