Question

which of the graphs below shows correctly plotted points for the following line?
$y = -2 - x$
select the correct answer below:

Explanation:

Step1: Calculate y for x=-1

Substitute $x=-1$ into $y=-2-x$:
$y=-2-(-1)=-2+1=-1$

Step2: Calculate y for x=0

Substitute $x=0$ into $y=-2-x$:
$y=-2-0=-2$

Step3: Calculate y for x=1

Substitute $x=1$ into $y=-2-x$:
$y=-2-1=-3$

Step4: Calculate y for x=2

Substitute $x=2$ into $y=-2-x$:
$y=-2-2=-4$

Step5: Match to correct graph

The valid points are $(-1,-1)$, $(0,-2)$, $(1,-3)$, $(2,-4)$.

Answer:

The bottom-most graph with points $(-1,-1)$, $(0,-2)$, $(1,-3)$, $(2,-4)$