1) the point A has coordinates (-1,2) and the point B has coordinates (3,-5)
a) i) find the gradient of AB
ii) hence find the equation of the line AB, giving your answer in the form px + qy = r . Where p, q and r are integers
b) the midpoint of AB is M
i) find the coordinates of M
ii) find an equation of the line which passes through M and which is perpendicular to AB
c) the point C has coordinates (k,2k+3) given that the distance from A to C is root 13. Find the two possible values of the constant k.
