Question

find the x-intercept of the line 14x - 11y = -1.
write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

Explanation:

Step1: Recall x-intercept definition

The x-intercept is where \( y = 0 \) on the line. So substitute \( y = 0 \) into the equation \( 14x - 11y = -1 \).

$$ 14x - 11(0) = -1 $$

Step2: Solve for x

Simplify the equation: \( 14x = -1 \). Then divide both sides by 14: \( x = \frac{-1}{14} \).

Answer:

\( -\frac{1}{14} \)