Respuesta :

The general equation of a line in slope-intercept form, is:

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept.

Starting with the equation of a line in standard form:

[tex]Ax+By=C[/tex]

To write this equation in slope-intercept form, we have to isolate y. First, substract Ax from both sides of the equation:

[tex]By=-Ax+C[/tex]

If B is different from 0, divide both sides by B:

[tex]y=-\frac{A}{B}x+\frac{C}{B}[/tex]

On the other hand, if we start with