Did you type this out? lol
Answer:
![y = \frac{1}{3}x -1](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B3%7Dx%20-1)
Explanation:
Given
Parallel to: ![-x + 3y = -0.5](https://tex.z-dn.net/?f=-x%20%2B%203y%20%3D%20-0.5)
Passes through (-9,-4)
Required
Determine the line equation
First, we calculate the slope (m) of the said line
![-x + 3y = -0.5](https://tex.z-dn.net/?f=-x%20%2B%203y%20%3D%20-0.5)
Make y the subject
![3y = x - 0.5](https://tex.z-dn.net/?f=3y%20%3D%20x%20-%200.5)
Divide through by 3
![y = \frac{1}{3}x - \frac{0.5}{3}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B3%7Dx%20-%20%5Cfrac%7B0.5%7D%7B3%7D)
An equation has the general form:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where
![m = slope](https://tex.z-dn.net/?f=m%20%3D%20slope)
So:
![m = \frac{1}{3}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B1%7D%7B3%7D)
Because the required line is parallel to
, then they have the same slope of ![m = \frac{1}{3}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B1%7D%7B3%7D)
Next, is to calculate the line equation using:
![y = m(x - x_1) + y_1](https://tex.z-dn.net/?f=y%20%3D%20m%28x%20-%20x_1%29%20%2B%20y_1)
Where
![m = \frac{1}{3}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B1%7D%7B3%7D)
![(x_1,y_1) = (-9,-4)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%28-9%2C-4%29)
This gives:
![y = \frac{1}{3}(x -(-9)) + (-4)](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B3%7D%28x%20-%28-9%29%29%20%2B%20%28-4%29)
![y = \frac{1}{3}(x +9) -4](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B3%7D%28x%20%2B9%29%20-4)
Open bracket
![y = \frac{1}{3}x +3 -4](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B3%7Dx%20%2B3%20-4)
![y = \frac{1}{3}x -1](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B3%7Dx%20-1)
-- One feature of Earth is an atmosphere rich in nitrogen and oxygen.
Very unusual.
-- Another feature of Earth is vast quantities of liquid and solid water.
Very unusual.
-- Another feature of Earth is a range of temperatures near the melting point
of water.
Very unusual.
Cambodia, the Mekong and the Tonle Sap dominate the life and economy of Cambodia
Basically, it was a NASA Space Task Group, and the goal of the program were to orbit a manned spacecraft around Earth, investigate the pilot's ability to function in space, and to recover both pilot and spacecraft safely .
hope this one has helped you any today . :)