Question

Find the coordinates of the points which divide the line segment joining A(-2,2) and B(2,8) into four equal parts.​

Answer 1

Answer:

Step-by-step explanation:

Let the line segment be AB

A(-2,2) B(2,8) is to be divided into 4 equal parts

let C be the midpoint of AB

Midpoint of AB=$\frac{x_{1+x_{2} } }{2}, \frac{y_{1}+y_{2} }{2}$

$\frac{-2+2}{2} , \frac{2+8}{2} \\\frac{0}{2} , \frac{10}{2} \\ \\0,5$

C=0,5

now let D be the midpoint of AC

$\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2} \\\frac{-2+0}{2}, \frac{2+5}{2} \\\frac{-2}{2} , \frac{7}{2}\\-1,\frac{7}{2}$

D=-1,7/2

now let E be the midpoint of CB

$\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2} \\\frac{o+2}{2} , \frac{5+8}{2} \\\frac{2}{2} , \frac{13}{2} \\1, \frac{13}{2}$

The coordinates are A(-2,2) B(2,8) C(0,5) D(-1,7/2) E(1, 13/2)

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