HTML:

<ya-map ya-zoom="10" ya-center="[37.44,55.72]">
    <ya-geo-object ya-source="geoObjects[0]" ya-options="{draggable:true,strokeColor:'#FFFF00',strokeWidth: 5}"></ya-geo-object>
    <ya-geo-object ya-source="geoObjects[1]" ya-options="{balloonHasCloseButton:false,strokeColor:'#000000',strokeWidth:4,strokeOpacity:0.5}"></ya-geo-object>
</ya-map>
    

javascript:

$scope.geoObjects=[
    {
        geometry: {
            type: 'LineString',
            coordinates: [
                [37.50,55.80],
                [37.40,55.70]
            ]
        },
        properties: {
            hintContent: "Я геообъект",
            balloonContent: "Меня можно перетащить"
        }
    },
    {
        geometry: {
            type: 'LineString',
            coordinates: [
                [37.50,55.80],
                [37.40,55.80],
                [37.50,55.70],
                [37.40,55.70]
            ]
        },
        properties: {
            balloonContent: "Ломаная линия"
        }
    }
];