Final answer:
The direct variation model that relates y and x when given x = -14 and y = 2 is y = (-1/7)x.
Step-by-step explanation:
A direct variation model relates y and x in the form of y = kx, where k is a constant. To find the direct variation model that relates y and x when given x = -14 and y = 2, we can substitute the values into the formula:
2 = k(-14)
Solving for k, we divide both sides of the equation by -14:
k = -2/14 = -1/7
Therefore, the direct variation model that relates y and x is y = (-1/7)x.