Question

Hello, I really need help this math is absolutely difficult for me

Answer 1

y = -4x - 5

Step-by-step explanation:

The slope intercept form of an equation is of the form

`y=mx+b`

where

m = slope

b = y-intercept.

Now the equation we have at our hand is

`-5x-y=4`

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

`-5x-y+5x=4+5x`

the 5x's cancel from the left-hand side, leaving us with

`-y=4+5x`

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

`-y*-1=-1*(4+5x)`

the negative sign on the left-hand side cancel, leaving us with

`y=-1*(4+5x)`

expanding the right-hand side of the equation gives

`y=-4-5x`

or a little cosmetic change gives

`\boxed{y=-5x-4}`

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.