Your answer would be 4.
If we substitute in x = -8 and y = -4 into the expression, we get:
![\frac{3(-8) - 4}{-4 - 3}](https://tex.z-dn.net/?f=%5Cfrac%7B3%28-8%29%20-%204%7D%7B-4%20-%203%7D)
This then becomes:
=
= 4.
I hope this helps!
We need to position the four points so they all are on the graph of an exponential function.
As an example of an exponential function, let's use the following function:
![y=2^x](https://tex.z-dn.net/?f=y%3D2%5Ex)
Now, to find where the points should be located, let's choose some values of x and calculate the corresponding values of y:
![\begin{gathered} x=-2:\\ \\ y=2^{-2}=\frac{1}{2^2}=\frac{1}{4}\\ \\ \\ \\ x=-1:\\ \\ y=2^{-1}=\frac{1}{2^1}=\frac{1}{2}\\ \\ \\ \\ x=0:\\ \\ y=2^0=1\\ \\ \\ \\ x=1:\\ \\ y=2^1=2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%3D-2%3A%5C%5C%20%5C%5C%20y%3D2%5E%7B-2%7D%3D%5Cfrac%7B1%7D%7B2%5E2%7D%3D%5Cfrac%7B1%7D%7B4%7D%5C%5C%20%5C%5C%20%5C%5C%20%5C%5C%20x%3D-1%3A%5C%5C%20%5C%5C%20y%3D2%5E%7B-1%7D%3D%5Cfrac%7B1%7D%7B2%5E1%7D%3D%5Cfrac%7B1%7D%7B2%7D%5C%5C%20%5C%5C%20%5C%5C%20%5C%5C%20x%3D0%3A%5C%5C%20%5C%5C%20y%3D2%5E0%3D1%5C%5C%20%5C%5C%20%5C%5C%20%5C%5C%20x%3D1%3A%5C%5C%20%5C%5C%20y%3D2%5E1%3D2%20%5Cend%7Bgathered%7D)
Therefore the points should be located at (-2, 1/4), (-1, 1/2), (0, 1), and (1, 2).
You are right, the third one is correct
Direct variation means that as x increases, y increases and as x decreases, y decreases
Answer:
A pilot works with planes and a carpenter works with wood.