Is #y/6 = x # a direct variation equation and if so what is the constant?

1 Answer
Feb 10, 2016

#y/6=x# is a direct variation equation with a variation onstant of #6#

Explanation:

One way to think about this is that a direct variation equation
is a non-vertical line that passes through the origin.

If you can write an equivalent equation in slope-intercept form:
#color(white)("XXX")y=mx+b# with the y-intercept #b=0#
then the equation is a direct variation (with variation constant #m#)

#color(green)(y/6=x) hArr color(red)(y=6x+0)#