Question

find the x-intercept of the line $2x - 14y = -16$. 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 of a line is the point where \(y = 0\). So we substitute \(y=0\) into the equation of the line \(2x - 14y=-16\).

Step2: Substitute \(y = 0\) into the equation

Substituting \(y = 0\) into \(2x-14y=-16\), we get \(2x-14(0)=-16\). Simplifying the left - hand side, since \(14\times0 = 0\), the equation becomes \(2x=-16\).

Step3: Solve for x

To solve for \(x\), we divide both sides of the equation \(2x=-16\) by 2. Using the formula \(\frac{2x}{2}=\frac{-16}{2}\), we find that \(x=-8\).

Answer:

\(-8\)