Question

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

Answer 1

y = 7x - 14

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.