Solution: Use intercept formula to set the linear equation as (x/a)+(y/b)= 1.

According to the meaning of the question: -b/a=2 ①

( 1/2){ab|=4 ②

b=-2a ③

a^2b^2=64 ④

b^2=4a^2

4a^4=64

a^4= 16

a= 2

b= 4

So there are two groups of solutions: (a=2, b=-4) (a=-2, b=4).

So the linear equation is x/2-y/4= 1 2x-y-4=0.

x/(-2)+y/4= 1 2x-y+4=0