If y varies inversely as x and y= -4 when x=2, find y when x= -6.

Question

asked Nov 27, 2023 161k views

1 Answer

Dnbwise · Answer 1 · 2023-12-02T08:46:48+0000

We are told that y varies inversely to x. This means that we have the following equation

where k is a constant. We are told that when x=2 we have y=-4. So we have the equation

$\text{ -4=}(k)/(2)$

Then, by multiplying both sides by 2, we get

$k=2\cdot(\text{ -4)= -8}$

So, we have the equation

$y=\frac{\text{ -8}}{x}$

So, when x= -6, we have that

$y=\frac{\text{ -8}}{\text{ -6}}=(8)/(6)=(4\cdot2)/(3\cdot2)=(4)/(3)$