Question

How to convert from point slope form to standard form and vice versa?

Answer 1

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

`y=mx+b`

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

Starting with the equation of a line in standard form:

`Ax+By=C`

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

`By=-Ax+C`

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

`y=-(A)/(B)x+(C)/(B)`

On the other hand, if we start with