Answer:
A. [tex]-2x+y=10[/tex]
Step-by-step explanation:
Given:
The equation of a line is given as:
[tex]y-4=2(x+3)[/tex]
The standard form of an equation of a line is of the form:
[tex]Ax+By=C[/tex], where, A, B and C are constants.
Now, we have to rearrange the above equation in standard form.
[tex]y-4=2(x+3)[/tex]
Distribute 2 to [tex]x+3[/tex]. This gives,
[tex]y-4=2x+6[/tex]
Add 4 on both sides. This gives,
[tex]y-4+4=2x+6+4\\y=2x+10[/tex]
Now, add -2x on both sides. This gives,
[tex]y-2x=2x-2x+10\\y-2x=10[/tex]
Now, rearrange in standard form. This gives,
[tex]-2x+y=10[/tex]
Therefore, the standard form is given as [tex]-2x+y=10[/tex]
