-10x - 6y = 120
The x intercept is the value of x, when y = 0.
-10x - 6y = 120
-10x -6*(0) =120
-10x - 0 = 120
-10x = 120
x = 120/-10 =-12
x = -12, x intercept = -12
y intercept is the value of y, when x = 0
-10x - 6y = 120
-10*(0) - 6y = 120
0 - 6y =120
-6y =120
y = 120/-6 =-20
y =-20 y intercept = -20
Hope this explains it.