Final answer:
The equation for the inverse relationship between x and y is y = (-4/70) / x.
Step-by-step explanation:
An inverse relationship between two variables can be represented by the equation y = k/x, where k is a constant. In this case, we are given that when x = -1/10, y = 4/7. So we can write the equation as:
y = k/(-1/10)
Now we can solve for k by substituting the given values:
4/7 = k/(-1/10)
Multiplying both sides by -1/10 gives:
4/7 * (-1/10) = k
k = -4/70
Therefore, the equation for the inverse relationship between x and y is:
y = (-4/70) / x