The ordered pair (1.5, 6) is a solution of direct variation, how do you write the equation of direct variation? Represents inverse variation. Represents direct variation. Represents neither.?

1 Answer
May 21, 2015

If (x,y) represents a direct variation solution then
y = m*x for some constant m

Given the pair (1.5,6)
we have
6 = m*(1.5)
rarr m=4
and the direct variation equation is
y= 4x

If (x,y) represents an inverse variation solution then
y = m/x for some constant m

Given the pair (1.5,6)
we have
6 = m/1.5
rarr m = 9
and the inverse variation equation is
y = 9/x

Any equation that can not be rewritten as one of the above is neither a direct nor an inverse variation equation.
For example
y=x+2 is neither.