#include<stdio.h>
#include<math.h>
struct point {
	int  x;
	int  y;
};
int det(int x1,int y1,int x2,int y2){
	return x1*y2-x2*y1;
}
int cross(struct point a,struct point b,struct point c){
	return det(b.x-a.x,b.y-a.y,c.x-a.x,c.y-a.y);
}
main(){
	struct point s[2],t[2];
	double a1,b1,c1,a2,b2,c2;
	int c;
	printf("INTERSECTING LINES OUTPUT\n");
	scanf("%d",&c);
	while(c--){
			scanf("%d%d%d%d%d%d%d%d",&s[0].x,&s[0].y,&s[1].x,&s[1].y,&t[0].x,&t[0].y,&t[1].x,&t[1].y);
			a1=s[0].y-s[1].y;
			a2=t[0].y-t[1].y;
			b1=s[1].x-s[0].x;
			b2=t[1].x-t[0].x;
			c1=s[0].x*s[1].y-s[1].x*s[0].y;
		    c1=t[0].x*t[1].y-t[1].x*t[0].y;
			if(cross(s[0],s[1],t[0])==0 && cross(s[0],s[1],t[1])==0){
				printf("LINE\n");
			}
			else{
			    if((s[0].x-s[1].x)*(t[0].y-t[1].y)-(s[0].y-s[1].y)*(t[0].x-t[1].x)==0)
			printf("NONE\n");	
			else
				printf("POINT %.2lf %.2lf\n",(b1*c2-b2*c1)/(b2*a1-b1*a2),(a1*c2-a2*c1)/(b1*a2-a1*b2));
			} 
	}
	printf("END OF OUTPUT\n");
}