If you’re trying to write an equation for the linear equation based off a graph. First, find two coordinates, in this case, it gives you them. (-2,5) and (2,0) this will give you the slope then you’ll need to identify the y intercept, which is the coordinate where x=0.
The y intercept appears to be in between 2 and three, could be 2.5. But to be sure…
Find the slope
(0-5)/2+2= -5/4
Substitute slope into equation below
y=mx+b
y= -5/4x+b
From this point, substitute the values of either coordinate.
I’ll use (2,0)
0= -5/4(2)+b
Then solve for b
b= 5/4(2)
b= 5/2
So your linear equation is
y=-5/4x+5/2