No, dont get a dvi-d to display port. Why would you get that? Either get a dvi-d cable or a displayport cable. Hybrid cables are problematic.
Get yourself the Bluerigger DVI-d cable or the AmazonBasic Displayport cable; both are quite cheap.
[Edit: Ok, checked the images again and i mistook the hdmi slot for displayport. Just get the DVI-D cable]