find the x - intercept of the line ( 2x - 14y=-16 ).\nwrite your answer as an integer or as a simplified…

find the x - intercept of the line ( 2x - 14y=-16 ).\nwrite your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

find the x - intercept of the line ( 2x - 14y=-16 ).\nwrite your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

Answer

Explanation:

Step1: Recall the definition of x - intercept

The x - intercept is the value of (x) when (y = 0).

Step2: Substitute (y = 0) into the equation

Substitute (y = 0) into (2x-14y=-16). We get (2x-14\times0=-16), which simplifies to (2x=-16).

Step3: Solve for (x)

Divide both sides of the equation (2x=-16) by (2). So, (x=\frac{-16}{2}=-8).

Answer:

(-8)