Answer to Question #206292 in Analytic Geometry for Attari

Question

Given the points (-4,8) and (6, -12):

(i) Determine the midpoint of the line segment connecting the points.

(ii) Determine the distance separating the two points.

Answer 1

Solution

$midpoint= \frac{X1+X2}{2}, \frac{Y1+Y2}{2}$

Midpoint for (-4,8) and (6, -12) =$\frac{-4+6}{2},\frac{8+-12}{2} =(1,2)$

Therefore the midpoint= $(1,2)$

Finding the distance separating the points;

$d=\sqrt{ (x2-x1)^2+(y2-y1)^2}$

$d= \sqrt{(10^2+(-20)^2}$

$d=\sqrt{500}$

$d = 22.36 units$