Write an equation of the line that passes through (2, 0) and is perpendicular to the line y=-1/7x-3

y = 7x - 14

Step-by-step explanation:

If the given line has slope - 1/7, then any perpendicular line has the slope which is the negative reciprocal of - 1/7. That is + 7.

Apply the slope-intercept formula for the equation of a straight line, using 0 for y, 2 for x and searching for the y-intercept value b:

0 = 7 (2) + b. Then b = - 14, and the desired equation is y = 7x - 14.