find the x - intercept of the line 7x + 7y = - 1. 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 (7x+7y=-1), we get (7x+7\times0=-1). Simplify the equation: (7x=-1).

Step3: Solve for (x)

Divide both sides of the equation (7x=-1) by (7), (x=\frac{-1}{7}).

Answer:

(\left(-\frac{1}{7},0\right))