Question

How do you graph `y=-3-5/9|x+4|`?

Answer 1

`y=-5/9x-47/9` or `y=5/9x-7/9`

Explanation:

`y=-3-5/9|x+4|`

Add `color(red)(3)` on both sides,

`y+color(red)(3)=-5/9|x+4|`

Multiply both sides by `color(red)(-1)`

`color(red)(-)ycolor(red)-3=5/9|x+4|`

Open up the modulus,

`color(red)(+-)(-y-3)=5/9(x+4)`

Hence,

`-y-3=5/9x+20/9`
`-y=5/9x+47/9`
`y=-5/9x-47/9`
graph{y=-5/9x-47/9 [-10, 10, -5, 5]}

OR

`y+3=5/9x+20/9`
`y=5/9x-7/9`
graph{y=5/9x-7/9 [-10, 10, -5, 5]}