Find the equation of the line. Please write out detailed solution to all parts.
a. Find the equation of the line passing through the origin (2, 3) and the point (2, −3).
b. Find the equation of the line passing through the point (2, 1) with slope √7.
c. Find the equation of the line perpendicular to the line y = 4x − 3 and find the x-intercept and y-intercept.