\(10x-5y=30\\\\x-intercept\ if\ y=0\to subtitute:\\10x-5(0)=30\\10x-0=30\\10x=30\ \ \ \ |divide\ both\ sides\ by\ 10\\\huge\boxed{x=3\to(3;\ 0)}\\\\y-intercept\ if\ x=0\to subtitute:\\10(0)-5y=30\\0-5y=30\\-5y=30\ \ \ \ |divide\ both\ sides\ by\ (-5)\\\boxed{y=-6\to(0;-6)}\)