Step-by-step explanation:
the intercept with the y axis is the y value for x = 0 (only for x = 0 is the line "hitting" the y axis).
and the intercept with the x axis ? well, that is the x value leading to y = 0.
so,
y = -6x - 2
x = 0
y = -6×0 - 2 = -2
so, the y intercept point is (0, -2)
and for what x is y = 0 ?
0 = -6x - 2
2 = -6x
x = -2/6 = -1/3
so, the x intercept point is (-1/3, 0)