You have the following equation:
y = -10x
the x-intercept is the point on the line when y=0. Then, you have:
0 = -10x
x = 0
The x-intercept is (0,0)
the y-intercept is the point on the line when x=0. Then, you have:
y = -10(0) = 0
The y-intercept is (0,0)