The points (1, 7), (13, -16) and (5, k), where k is an integer, are vertices of a non-degenerate triangle. What is the sum of the values of k for which the area of the triangle is a minimum?
Here's hint: Draw a line with points \((1,7)\) and \((13,-16)\).
K will be the integer that is closest to the y-value when x = 5.