Answer:
x+2y-c=0
Step-by-step explanation:
let (x1,y1)=(-4,8) & (x2,y2)=(4,4)
Using rise over run we are going to find slope,
y2-y1/x2-x1
4-8/4+4
-1/2
so,slope is -1/2.so we have equation y=mx+c to find c.
8=-1/2*(-4)+c
16=4+c
c=16-4
c=12
putting the value of c in y=mx+c
y=-1/2x+c
or,2y=-x+c
x+2y-c=0 is the required equation.