Answer:
[tex]y=-\frac{1}{2}x+2[/tex]
Step-by-step explanation:
Looking at the graph
For x=-2 ---> f(x)=3
For x=2 ---> f(x)=1
so
we have the points
(-2,3) and (2,1)
Find the slope
[tex]m=(1-3)/(2+2)=-\frac{1}{2}[/tex]
The equation of the line in slope-intercept form is equal to
[tex]y=mx+b[/tex]
we have
[tex]m=-\frac{1}{2}[/tex]
[tex]b=2[/tex] ---> see the graph
substitute
[tex]y=-\frac{1}{2}x+2[/tex]
