EMERGING MARKETS-Brazil, Mexico stocks rebound after tough week

* Brazil interest rate outlook boosts homebuilders * America Movil profit weak, but shares pare steep losses * Brazil Bovespa gains 1.44 pct, Mexico IPC up 0.82 pct SAO PAULO, April 19 (Reuters) - Latin American stocks rose on Friday, bouncing back at the end of a rough week that took stocks in Brazil to their lowest in nine months and sent Mexican stocks to their cheapest in a month. Mexico's IPC stock index rose 0.82 percent to 42,808.17 points, but the gauge still ended the