How many straight lines, starting from point {x: 0, y: 0}, are needed to intersect with all the points in a given array?

intersection-lines.js

function normalize({x, y}) {
  const nx = x / Math.abs(x)
  const ny = y / Math.abs(x)
  return nx + '|' + ny
}

/*
console.log(normalize({x: 1, y: 2}))
console.log(normalize({x: 2, y: 4}))
console.log(normalize({x: -2, y: 4}))
console.log(normalize({x: 2, y: -4}))
console.log(normalize({x: -2, y: -4}))
console.log(normalize({x: -1, y: -2}))
console.log(normalize({x: -1, y: -4}))
*/

function solution(A) {
  const nA = A.map(i => normalize(i))
  const uniqueA = [...new Set(nA)]
  return uniqueA.length
}

/*
console.log(solution([{x:1, y:1}, {x:2, y:2}])) // 1
console.log(solution([{x:-1, y:1}, {x:-2, y:2}])) // 1
console.log(solution([{x:-1, y:-1}, {x:-2, y:-2}])) // 1
console.log(solution([{x:-1, y:-1}, {x:2, y:2}])) // 2
*/