Edit in JSFiddle

// don't cache ajax or content won't be fresh
$.ajaxSetup({
    cache: false
});

var feedId = "mthayes";
var apiKey = ""; // not needed for public feeds, use either api key or access key if the feed is not public
var accessKey = "";
var apiBaseUrl = "//www.teleport.nu/api/v1";
var url = apiBaseUrl + "/feed-info?feedid=" + feedId + "&apikey=" + apiKey + "&accesskey=" + accessKey;

$("#runButton").click(function () {

    $.ajax({
        url: url,
        type: "GET",
        success: function (data, textStatus, jqXHR) {
            // got the result
            $("#resultJSON").html(jqXHR.responseText);
            // extract some properties
            var feed = data.FeedViewer;
            $("#feedName").html(feed.Name);
            $("#feedDescription").html(feed.Description);
            $("#feedLocalTime").html(feed.LocalTime);
        },
        error: function (jqxhr, textStatus, error) {
            $("#resultJSON").html("Error: " + jqxhr.status + ', ' + textStatus + ', ' + error);
        }
    });

});

<button id="runButton">Run</button>
<br/>
<br/>Feed name:
<div id="feedName"></div>Feed description:
<div id="feedDescription"></div>Feed local time
<div id="feedLocalTime"></div>
<br/>Response JSON:
<div id="resultJSON"></div>