[verb ます-stem] + やすい
~やすい goes on the ます-stem of a verb and means "easy to do": かく書く becomes かきやすい書きやすい, "easy to write with". The thing that is easy comes first with は or が, not with を.
The result is an い-adjective and changes like one: よみやすかった読みやすかった, よみやすくない読みやすくない, and before a noun よみやすい読みやすいほん本.
With a verb that nobody does on purpose – slipping, breaking, catching a cold – ~やすい means that it happens easily: "is likely to", "tends to".
The ~やすい here is not やすい安い, "cheap". The two sound the same, but ~やすい is always written in kana after a verb.