[tex]4x-9y=36\\\\x-intercept\ for\ y=0\\\\4x-9(0)=36\\\\4x-0=36\\\\4x=36\qquad\text{divide both sides by 4}\\\\\boxed{x=9\to(9,\ 0)}\\\\y-intercept\ for\ x=0\\\\4(0)-9y=36\\\\0-9y=36\\\\-9y=36\qquad\text{divide both sides by (-9)}\\\\\boxed{y=-4\to(0,\ -4)}[/tex]
