Final answer:
The equation of the line is y = (3/7)x - 6.
Step-by-step explanation:
The equation of a line can be represented in the form y = mx + b, where m is the slope and b is the y-intercept. Since the slope is given as 3/7 and the line passes through the point (14, 0), we can substitute these values to find the equation.
First, substitute the value of m into the equation to get y = (3/7)x + b. Then substitute the coordinates of the point (14, 0) into the equation to find the value of b. Plugging in x = 14 and y = 0, we have 0 = (3/7) * 14 + b. Solving for b, we get b = -6. Therefore, the equation of the line is y = (3/7)x - 6.