THE BRONX - A new state law has gone into effect today making it easier for low-income parents to pay child support by lowering monthly payments.Lawmakers, including state Sen. Ruth Hassell Thompson (D-The Bronx), say many low-income parents don't pay their dues because they cannot earn enough money. At a press conference yesterday, Hassell Thompson said making lower monthly payments is better than not paying at all.Under the new law, a judge can refer unemployed parents to job-training programs. If a parent's income drops more than 15 percent, he or she can pay less. The final provision of the new law will go in effect in July of 2011, making it easier for children to get health insurance through their parents' employer.