If y =12 when x= 6, find x when y=-24

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If y =12 when x= 6, find x when y=-24

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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find a point in a graph?
You would tell whoever gave this question that there isn't enough info.
does y vary directly with x maybe?

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Other answers:

does y vary indirectly with x? or you not given anything else?
yes, i want to know too..
Write an inverse variation equation that relates x and y. Assume that y varies inversely as x. Then solve.
\[y=\frac{k}{x}\]
plug in x=6,y=12 to find the constant k
that is the first step then there is another step afterwards
simplify and substitute
okay i plugged everything in..
did you find the constant k?
that was the whole point in pluggin in your first part (x,y)=(6,12)
first pair*
so it'd be -3 ?
the answer is -12?
y=kx 12=k(6) 2=k y=2x -24=2x x=-24/2 x=-12
I think 6(12) isn't -3
thats not even a choice.
\[y=\frac{k}{x} \\ xy=k \\ 6(12) =k\]
do you know how to multiply 6 and 12?
if you don't you can think of it as 12+12+12+12+12+12 (the sum of six 12's)
yes i do thanks but my teacher checked it and she said its right
oh you already did the question?
i did what you said to start off with but then she emailed me back and set it up
ok so when you said -3 you weren't talking about k you were talking about the for x when y=-24
yes
\[xy=k \\ 6(12)=k \\ 72=k \\ \text{ yeah } k \text{ is 72} \\ xy=72 \text{ replaced } k \text{ with } 72 \\ \\ \text{ now what is } x \text{ when } y=-24 \\ -24x=72 \] yep final answer is x=-3 when y=-24

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