The problem asks us to find the equation of a line that passes through the point $(2, 0)$ and has a slope of $-7$.

1. Problem Description

The problem asks us to find the equation of a line that passes through the point $(2, 0)$ and has a slope of $-7$.

2. Solution Steps

We can use the point-slope form of a linear equation, which is given by:

$y - y_1 = m(x - x_1)$

where $(x_1, y_1)$ is a point on the line and $m$ is the slope.

In this problem, we have the point $(2, 0)$, so $x_1 = 2$ and $y_1 = 0$. We also have the slope $m = -7$.

Substituting these values into the point-slope form, we get:

$y - 0 = -7(x - 2)$

$y = -7(x - 2)$

$y = -7x + 14$

So the equation of the line is $y = -7x + 14$.

3. Final Answer

$y = -7x + 14$