Answer:
y = -4x - 5
Explanation:
The slope intercept form of an equation is of the form
[tex]y=mx+b[/tex]
where
m = slope
b = y-intercept.
Now the equation we have at our hand is
[tex]-5x-y=4[/tex]
To write the above in the slope-intercept form, we have to separate y on one side. How do we do this? We need to first get rid of that - 5x from the left-hand side.
We add 5x to both sides to get
[tex]-5x-y+5x=4+5x[/tex]
the 5x's cancel from the left-hand side, leaving us with
[tex]-y=4+5x[/tex]
y is still not separated yet. Therefore is a troublesome negative sign on y that we need to get rid of. So we multiply both sides by -1 to get
[tex]-y\times-1=-1\times(4+5x)[/tex]
the negative sign on the left-hand side cancel, leaving us with
[tex]y=-1\times(4+5x)[/tex]
expanding the right-hand side of the equation gives
[tex]y=-4-5x[/tex]
or a little cosmetic change gives
[tex]\boxed{y=-5x-4}[/tex]
which is our answer with y utterly alone on the left-hand side!
Now looking a the answer choices we see that the first option matches our answer.
Therefore, the first option is the correct answer.
