Final answer:
The given equation y = 7x + 1 + 2/(x-2) is a linear equation with a slope of 7 and a y-intercept of 1. It also includes a rational function that introduces a vertical asymptote at x = 2.
Step-by-step explanation:
The given equation is y = 7x + 1 + 2/(x-2). This is a linear equation in the form y = mx + c, where m is the slope and c is the y-intercept. In this equation, the slope is 7 and the y-intercept is 1. The additional term on the right side, 2/(x-2), is a rational function that introduces a vertical asymptote at x = 2.