Let A(1,−2) and B(4,1) be two given points. A point P(h,k) is to be located such that
(i) Find the slopes of the lines specified in conditions (1) and (2).
(ii) Using the two conditions, set up the system of equations satisfied by h and k.
(iii) Solve the system to obtain the coordinates of P.
(iv) Write the equation of the line joining A and P.