Answer :

Answer:

y=-x-2

Step-by-step explanation:

Hello

according to the graph you can take two points of the line, let p1 and p2

p1(-2,0) ,  p2(0,-2)

with those points we can find the slope

[tex]m=\frac{y2-y1}{x2-x1} \\\\m=\frac{-2-0}{0-(-2)} \\m=\frac{-2}{2} \\m=-1[/tex]

now we use the slope point -equation, with p1(-2,0)

[tex]y-y_{0} =m (x-x_{0})\\[/tex]

[tex]y-0=-1(x-(-2))\\y=-x-2[/tex]

the function of the graph is y =-x-2

Have a great day.