Problema Solution

Find the distance between the points (6,-17) and (13,-14). Also find the midpoint of the segment that joins the points.

Answer provided by our tutors

the distance d between the points (x1, y1) and (x2, y2) is given by the formula:


d^2 = (x2 - x1)^2 + (y2 - y1)^2


in our case:


x1 = 6, y1 = -17


x2 = 13, y2 = -14


d^2 = (13 - 6)^2 + (-14 - (-17))^2


d^2 = 58


d = 7.62


the midpoint of the segment that joins the points (x1, y1) and (x2, y2) is given by the formula


M((1/2)(x1 + x2), (1/2)(y1 + y2))


(1/2)(6 + 13) = 9.5


(1/2)(-17 + (-14)) = - 15.5


the midpoint is M(9.5, -15.5).