[tex]-10x-6y=120[/tex]
x-intercept when y = 0
[tex]-10x-6\cdot0=120\\\\-10x-0=120\\\\-10x=120\ \ \ \ |divide\ both\ sides\ by\ (-10)\\\\x=-12\to(-12;\ 0)[/tex]
y-intercept when x = 0
[tex]-10\cdot0-6y=120\\\\0-6y=120\\\\-6y=120\ \ \ \ |divide\ both\ sides\ by\ (-6)\\\\y=-20\to(0;-20)[/tex]