Final answer:
The equation 6x - 7y = 7 is linear, and the slope of any nonvertical line is 6/7.
Step-by-step explanation:
An equation is considered linear if it can be written in the form y = mx + b, where m is the slope and b is the y-intercept. The equation 6x - 7y = 7 can be rewritten as -7y = -6x + 7, and then dividing by -7 on both sides gives y = (6/7)x - 1. Therefore, the equation is linear.
The slope of any nonvertical line can be found by looking at the coefficient of x in the equation. In this case, the coefficient of x is 6/7, so the slope of any nonvertical line is 6/7.