A pretty contrived example to try to help someone to show how to drag circles and have a line move with it. You can drag the light blue circle around and the line connecting it to the red point moves with it.
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<html>
<head>
<meta charset='utf-8' />
<title>Create a draggable point</title>
<meta name='viewport' content='initial-scale=1,maximum-scale=1,user-scalable=no' />
<script src='https://api.tiles.mapbox.com/mapbox-gl-js/v0.53.0/mapbox-gl.js'></script>
<link href='https://api.tiles.mapbox.com/mapbox-gl-js/v0.53.0/mapbox-gl.css' rel='stylesheet' />
<style>
body { margin:0; padding:0; }
#map { position:absolute; top:0; bottom:0; width:100%; }
</style>
</head>
<body>
<style>
.coordinates {
background: rgba(0,0,0,0.5);
color: #fff;
position: absolute;
bottom: 10px;
left: 10px;
padding:5px 10px;
margin: 0;
font-size: 11px;
line-height: 18px;
border-radius: 3px;
display: none;
}
</style>
<div id='map'></div>
<pre id='coordinates' class='coordinates'></pre>
<script src='./map.js'>
</script>
</body>
</html>
https://api.tiles.mapbox.com/mapbox-gl-js/v0.53.0/mapbox-gl.js