The line L passes through the fixed point (2,5) and a variable point (a,7a−1), where a is a real parameter.
a. (i) Obtain the equation of L in terms of the parameter a using the two given points.
b. (ii) Determine the value(s) of a for which L is perpendicular to the line 3x+4y=6.
c. (iii) For the value of a found in part (ii), express the equation of L in slope–intercept form and state both its slope and y-intercept.