Answer:
The standard form is [tex]3x+4y=-24[/tex]
Step-by-step explanation:
The standard form of a linear equation can be written as
[tex]ax+by=c[/tex]
The given equation is
[tex]y=-\frac{3}{4}x-6[/tex]
This equation is in the slope-intercept form.
To rewrite this in standard form, we must multiply through by the least common multiple which is 4.
[tex]4y=-3x-24[/tex]
We now add [tex]3x[/tex] to both sides of the equation to obtain,
[tex]4y+3x=-3x+3x-24[/tex]
This simplifies to
[tex]4y+3x=0-24[/tex]
Hence the standard form is
[tex]3x+4y=-24[/tex]
The correct answer is A
