For each equation, determine whether

x
and
y
are directly proportional (that is, if the equation shows direct variation).
If so, then find the constant of proportionality (the constant of variation).
(a)
=y−9x12

Proportional
Constant of proportionality:
=k



Not proportional
(b)
=8x=y

Proportional
Constant of proportionality:
=k



Not proportional

1 answer

Note: For equation (a), the actual equation was not provided. Therefore, the answer given for equation (a) is based on the assumption that the equation is of the form:
y = kx + b, where b is a constant and k is the constant of proportionality/variation.

(a) Assuming the equation is of the form y = kx + b:

Not proportional
(b) Proportional
Constant of proportionality: k = 8