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).