is the graph of Ax+By=C always a straight line?

Question

is the graph of Ax+By=C always a straight line?

Answer 1

An equation of the form:

    Ax + By = C

 where

    x and y are variables along the coordinate axes in the Cartesian Coordinate System

  and

    A, B, and C are real coefficients

  is

an equation of a straight line in Standard Format.

 

So, yes.

 

One note of interest:  An equation of a line in Standard Form may represent a vertical line (that is, undefined slope) when B=0, but the equation of a line in slope-intercept form (that is, y=mx+b) may not.  It looks like:

      Ax = C