Answer:
A. ![-2x+y=10](https://tex.z-dn.net/?f=-2x%2By%3D10)
Step-by-step explanation:
Given:
The equation of a line is given as:
![y-4=2(x+3)](https://tex.z-dn.net/?f=y-4%3D2%28x%2B3%29)
The standard form of an equation of a line is of the form:
, where, A, B and C are constants.
Now, we have to rearrange the above equation in standard form.
![y-4=2(x+3)](https://tex.z-dn.net/?f=y-4%3D2%28x%2B3%29)
Distribute 2 to
. This gives,
![y-4=2x+6](https://tex.z-dn.net/?f=y-4%3D2x%2B6)
Add 4 on both sides. This gives,
![y-4+4=2x+6+4\\y=2x+10](https://tex.z-dn.net/?f=y-4%2B4%3D2x%2B6%2B4%5C%5Cy%3D2x%2B10)
Now, add -2x on both sides. This gives,
![y-2x=2x-2x+10\\y-2x=10](https://tex.z-dn.net/?f=y-2x%3D2x-2x%2B10%5C%5Cy-2x%3D10)
Now, rearrange in standard form. This gives,
![-2x+y=10](https://tex.z-dn.net/?f=-2x%2By%3D10)
Therefore, the standard form is given as ![-2x+y=10](https://tex.z-dn.net/?f=-2x%2By%3D10)