Let a be a real parameter. A straight line passes through the point (a,2a−3) and has slope a+41−2a (where a=−4).
(i) Write the equation of the line in point–slope form.
(ii) Convert the equation obtained in part (i) to slope–intercept form, expressing the y-intercept as a single simplified fraction.
(iii) Determine all real values of a for which this line is parallel to the line y=3x+5. Justify your answer.