Answer: When x = 7, y = -2
Step-by-step explanation:
According to question,
y ∝ 1 / x
To remove proportionality, include a constant. Let the constant be k.
y = k × (1 / x)
Now, we know that y = 7 when x = -2
y = k × (1 / x)
7 = k × (1 / -2)
k = -14
The equation now becomes,
y = -14 × (1 / x)
Now, we need to find y when x = 7.
y = -14 × (1 / 7)
y = -2
So, when x = 7, y = -2.