Standard form is a way to write linear equations given by the equation:
Ax + By = C
where A, B, and C are constants.
Standard form is useful because you can easily identify x- and y-intercepts of the line.
However, because standard form does not include the slope m, it is much easier to write a linear equation in slope-intercept or point-slope form first, then convert it to standard form. when graphing linear equations, it is easier to use slope-intercept or point-slope form.
In standard form, the x-intercept of the line is . This is because if you set y = 0, then .
The y-intercept of a linear equation in standard form is . This is because if you set x = 0, then .
3x + 2y = 6
|3x + 2(0) = 6||3(0) + 2y = 6|
|3x = 6||2y = 6|
|x = 2||y = 3|
|x-intercept at (2, 0)||y-intercept at (0, 3)|
When solving systems of equations, it is common for you to see linear equations written in standard form.
See also system of equations.