Explanation:
This equation is in Standard Form. To find the x and y intercepts, it is easier to convert it to slope-intercept form, or y = mx + b.
6x - y = 10
-y = -6x + 10
y = 6x - 10
In slope-interecept form, you can see that the y-int, b, is -10, the constant. To find x, set y to zero.
0 = 6x - 10
10 = 6x
10/6 = x
5/3 = x