Is #y=3.2x# a direct variation equation and if so, what is the constant of variation?

1 Answer
Jan 14, 2016

#y=3.2x# is a direct variation equation with a constant of variation #= 3.2#

Explanation:

Any linear equation of the form:
#color(white)("XXX")y=c*x#
or
#color(white)("XXX")y/x=c#
for some constant #c# is a direct variation equation (with direct variation constant of #c#).

Another way to look at it:
Any linear equation which passes through the origin, i.e. through #(0,0)#, and is neither a horizontal nor a vertical line
is a direct variation equation with a direct variation constant equal to the slope of the the line.