Answer
I
Work Step by Step
$4x-8y=10$
$4x=8y-10$
$.5*x=y-1.25$
$1/2*x+5/4=y$
$m=1/2$
Graph F goes through $(1,-1)$ and $(2,0)$
$m=(0--1)/(2-1)$
$m=1/1 = 1$ (does not equal 1/2)
Graph G goes through $(0,-1)$ and $(1,1)$
$m=(1--1)/(1-0)$
$m=2/1 = 2$ (does not equal 1/2)
Graph H goes through the points $(0,1)$ and $(1,2)$
$m=(2-1)/(1-0)$
$m=1/1 = 1$ (does not equal 1/2)
Graph I goes through the points $(0,-1)$ and $(2,0)$
$m=(0--1)/(2-0)$
$m=1/2$