find the x - intercept of the line 6x - 4y = 14. write your answer as an integer or as a simplified proper…

Explanation:

Step1: Recall the definition of x - intercept

The x - intercept occurs when (y = 0).

Step2: Substitute (y = 0) into the equation

Substitute (y = 0) into (6x-4y = 14), we get (6x-4\times0=14), which simplifies to (6x=14).

Step3: Solve for (x)

Divide both sides of the equation (6x = 14) by (6), (x=\frac{14}{6}). Simplify the fraction: (x=\frac{7}{3}).

Answer:

(\frac{7}{3})