y=-3x-1
y = mx + b where m = slope and b = y intercept
In this case,
slope = -3
x-intercept:
-3x - 1 = 0
3x = -1
x = -1/3
So
x intercept = (-1/3 , 0)
y-intercept = (0,-1)
slope = -3
y intercept = -1
x intercept
y=0 solve for x
0=-3x -1
add 1 to each side
1 = -3x
divide by -3
-1/3 = x
x intercept = -1/3