Question

find the exponential equation of the line that best describes the provided information.
(3,-243) and (5,-19683)

Answer 1

technically it is not a line but a curve

Answer 2

WELCOME TO OPENSTUDY
and what do u think it is?

Answer 3

im not really sure what it is or how to do it honestly.

Answer 4

@SolomonZelman

Answer 5

2 points can always be a line

Answer 6

I mean it would be a line with a very small negative slope (using "small" knowing that -4>-10)

Answer 7

i think he wants an exponential curve, though

Answer 8

yes, most likely.
It is not necesarily (only) a curve though.

Answer 9

\(\large\color{royalblue}{ \displaystyle y=a(b)^x }\)
plug in your points, and make the system of equations to solve.

Answer 10

Like:
\(\large\color{royalblue}{ \displaystyle -243=a(b)^3 }\)
\(\large\color{royalblue}{ \displaystyle -19683=a(b)^5 }\)

Answer 11

then solve the sys of equations for a and b.
As you find a and b, re-write the \(\large\color{royalblue}{ \displaystyle y=a(b)^x }\), BUT with the values of a and b that you find.

Answer 12

fro there it should be clear enough....

Answer 13

okay thank you

Answer 14

sure

Answer 15

do you mind if i message you?

Answer 16

well, it depends on the content of the message.
I do mind "oh please give me the answer, and I will fan you"

Answer 17

But if you ask a question about the problem I answered to, then it would be fair that you ask it in the post, and that I come back to it.

Answer 18

yes, once you found b, plug it into (i would recommend) the -243=b^3 to find a.

Answer 19

I mean into -243=a(b)^3

Answer 20

okay.

Answer 21

did you find a?