[tex]45x-35y=315\\\\x-intercept\ for\ y=0:\\\\45x-35(0)=315\\45x=315\qquad\text{divide both sides by 45}\\x=7\\\\y-intercept\ for\ x=0:\\\\45(0)-35y=315\\-35y=315\qquad\text{divide both sides by (-35)}\\y=-9\\\\Answer:\\x-intercept:7\\y-intercept:-9[/tex]
