Find the linear and power function of lines passing through the points: (-3,19683) and (4,-147456)

Question

zzr0ck3r · Answer

$y=mx+b$ gives a "linear" curve.

Use the points to figure out what $m$ and $b$ are. Do you know how to do this?

zzr0ck3r · Answer

What is the slope $m$ of the line passing through the two points?

anonymous · Answer

yes y2-y1/x2-x1

anonymous · Answer

Im having trouble with the power function part

zzr0ck3r · Answer

what is the form of a power function?

anonymous · Answer

I don't know...I wasn't in lecture when it was taught..

zzr0ck3r · Answer

The form is $y=ax^b$, so we need to figure out what $a$ and $b$ are. 

For this we do something similar to finding the solution to a system of linear equations (the addition method) but its more like a division method

use the two points and we get $19683=a(-3)^b$ and $-147456=a(4)^b$ Do you see how I came up with that?

anonymous · Answer

yes

anonymous · Answer

how do we find b?

zzr0ck3r · Answer

solve for a in one equation, then plug that back in for a in the other equation

zzr0ck3r · Answer

make sense?