Final answer:
The x-intercept of the line 14x - 11y = -1 is -1/14.
Step-by-step explanation:
To find the x-intercept of the line 14x - 11y = -1, we need to set y equal to 0 and solve for x.
When y = 0, the equation becomes 14x - 11(0) = -1.
Simplifying this equation gives us 14x = -1.
Dividing both sides of the equation by 14, we find that x = -1/14.
Therefore, the x-intercept of the line is -1/14.