Havlishkq

2022-02-17

How can we derive the standard form of the linear equation:

$Ax+By+C=0$ ? What do "A", "B" and "C" in the standard form of the linear equation mean? As in the point-slope form of the linear equation:

$y-{y}_{0}=m(x-{x}_{0})$ , m is the slope, and x, y are the coordinates of any point. Likewise,$x}_{0},{y}_{0$ , are the coordinates of the given point.

Nicolle Newman

Beginner2022-02-18Added 4 answers

Let's say we start with the point-slope form

where (x,y) represents any point on the line, and

Now, we can simply let