The others have it right @ 17'-4 3/8". Deduct half your ridge thickness (not height) if you have one. 3/4" deduction if you have a 1 1/2" ridge (close enough on a 7/12). Make the 7/12 plumb cut @ the ridge using the short leg of the framing square or a speed square. Pull the tape 208 3/8" and make another 7/12 plumb mark parallel to the first, but don't cut it there unless you have zero overhang, which would be near unimaginable. Then measure up about 1 1-2" from the bottom of the rafter on that second line and make a mark. Flip the square around and use the long leg, or you can just square off the second line you just made, at the mark you just made, and draw a line going back to the ridge. That creates the horizontal portion of the birds mouth cut that sits on the beam or wall. Remove the materials below that line (small triangle). You should extend the Overhang on the rafter as desired and make the same plumb cut you did for the other two. Rafter is now done, unless you have a secondary overhang cut to accommodate the fascia height. Similar to a birds mouth cut
If you have a ridge beam that needs to be set first..... do the following items. Many struggle here and it's easier than the rafter for certain.
1. measure the remaining length of the second line you made on that rafter from the birds mouth cut up to the top edge of the rafter. Follow the line!! Lets say for illustration it measures 5". Will vary depending on exact placement of the birds mouth and rafter size.
2 . measure up from the top of the wall or beam that the rafters bear on and measure up 110" to the top of the ridge. How did I get there? 7" rise over half the span 15' is 105" plus the 5" plumb mark left on the rafter second cut. Remember the rafter is sitting up above the wall bearing point by that amount, so you need to move the ridge up by the same amount to maintain the true 7/12 pitch or slope.
I've skipped a couple of refined dimensions for positioning the ridge and technically just drove it about 7/16" too high for reasons I'll wear us out with if I continue. So assuming it's a 1 1/2" thick ridge , drop it 7/16" to 109 9/16". Just remember to follow 1 and 2 above, and then drop 7/16". That nails the ridge height for a 7/12 pitch.
You need 20' rafters with the overhang. You can order them, just make sure they are sized right for you snow or wind loads.
Also, if you can mock the roof up on the slab, it's allot easier and certain to work. Don't always have that option though.
HTH