Answer:
See below.
Step-by-step explanation:
First,looking at the graph, we can pick out (any) two points we can use. I'm going to pick the points (-2,1) and (0,-1).
Use the slope-intercept form: [tex]y=mx+b[/tex]
We already know [tex]b[/tex] since (0,-1) is the y-intercept, so...
[tex]y=mx-1[/tex]
Now, find the slope:
[tex]m=\frac{\Delta y}{\Delta x} =\frac{1-(-1)}{-2-0} =\frac{2}{-2}=-1[/tex]
Thus, the entire equation is:
[tex]y=-x-1[/tex]
