Massachusetts employers cut jobs for the third consecutive month in April, a sign that federal spending cuts and tax increases are slowing the state’s economy and taking a toll on hiring, economists said.

Employers trimmed payrolls by 1,400 jobs last month, after cutting 3,800 jobs in March and 800 in February, the Massachusetts Executive Office of Labor and Workforce Development reported Thursday. The state unemployment rate held steady at 6.4 percent.