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