Question

x + y = -2

Explanation:

Step1: Rewrite in slope-intercept form

Rearrange $x+y=-2$ to solve for $y$:
$y = -x - 2$

Step2: Find y-intercept

Set $x=0$, solve for $y$:
$y = -(0) - 2 = -2$
This gives the point $(0, -2)$.

Step3: Find x-intercept

Set $y=0$, solve for $x$:
$0 = -x - 2 \implies x = -2$
This gives the point $(-2, 0)$.

Step4: Plot and connect points

Mark $(0, -2)$ and $(-2, 0)$ on the grid, then draw a straight line through them.

Answer:

The line passes through points $(-2, 0)$ and $(0, -2)$; a straight line connecting these points is the graph of $x+y=-2$.