1) Given the \(\triangle ABC\) with points \(A(2, 3), B(4, -3),\) and \(C(-1, -2)\).
a) Write the equation of the line parallel to \(\overline{AB}\) through point \(C\).
b) Write the equation of the altitude to \(\overline{AB}\).
2) The coordinates of the vertices of are \(A(-2a, 0), B(0, 2b)\) and \(C(2a, 0)\). Prove the medians drawn to the legs of the isosceles are congruent.