Diving the length AB into equal parts gives;
![D→\left (4 \:,4.5\right)](https://tex.z-dn.net/?f=D%E2%86%92%5Cleft%20%284%20%5C%3A%2C4.5%5Cright%29%20)
![E→\left (5 \:,4.75\right)](https://tex.z-dn.net/?f=E%E2%86%92%5Cleft%20%285%20%5C%3A%2C4.75%5Cright%29%20)
![H→\left (8 \:,5.5\right)](https://tex.z-dn.net/?f=H%E2%86%92%5Cleft%20%288%20%5C%3A%2C5.5%5Cright%29%20)
![I →\left (9 \:,5.75\right)](https://tex.z-dn.net/?f=I%20%E2%86%92%5Cleft%20%289%20%5C%3A%2C5.75%5Cright%29%20)
<h3>How can the coordinates of the points be found?</h3>
The number of equal parts obtained by counting are 8
Coordinates of point <em>A</em> is (2, 4)
Coordinates of point <em>B </em>is (10, 6)
Therefore;
Coordinates of point <em>C</em> is
![\mathbf{ \left (2 + \frac{10 - 2}{8},\: 4 + \frac{6 - 4}{8}\right) }= \left (3 \:, 4.25\right)](https://tex.z-dn.net/?f=%5Cmathbf%7B%20%5Cleft%20%282%20%2B%20%5Cfrac%7B10%20-%202%7D%7B8%7D%2C%5C%3A%20%204%20%2B%20%5Cfrac%7B6%20-%204%7D%7B8%7D%5Cright%29%20%7D%3D%20%5Cleft%20%283%20%5C%3A%2C%204.25%5Cright%29%20)
Coordinates of point <em>D</em> are;
![\mathbf{\left (2 + \frac{10 - 2}{4} \: , 4 + \frac{6 - 4}{4}\right) }= \left (4 \:,4.5\right)](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cleft%20%282%20%2B%20%5Cfrac%7B10%20-%202%7D%7B4%7D%20%5C%3A%20%2C%204%20%2B%20%5Cfrac%7B6%20-%204%7D%7B4%7D%5Cright%29%20%7D%3D%20%5Cleft%20%284%20%5C%3A%2C4.5%5Cright%29%20)
Coordinates of point <em>E</em> are;
![\mathbf{\left (2 + \frac{8 \times 3}{8} \: , 4 + \frac{2 \times 3}{8}\right)} = \left (5 \:,4.75\right)](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cleft%20%282%20%2B%20%5Cfrac%7B8%20%5Ctimes%203%7D%7B8%7D%20%5C%3A%20%2C%204%20%2B%20%5Cfrac%7B2%20%5Ctimes%203%7D%7B8%7D%5Cright%29%7D%20%3D%20%5Cleft%20%285%20%5C%3A%2C4.75%5Cright%29%20)
Coordinates of point F are;
![\mathbf{\left (2 + \frac{8 \times 4}{8} \: , 4 + \frac{2 \times 4}{8}\right)} = \left (6 \:,5\right)](https://tex.z-dn.net/?f=%20%5Cmathbf%7B%5Cleft%20%282%20%2B%20%5Cfrac%7B8%20%5Ctimes%204%7D%7B8%7D%20%5C%3A%20%2C%204%20%2B%20%5Cfrac%7B2%20%5Ctimes%204%7D%7B8%7D%5Cright%29%7D%20%3D%20%5Cleft%20%286%20%5C%3A%2C5%5Cright%29%20)
Coordinates of point <em>H</em> are;
![\mathbf{\left (2 + \frac{8 \times 6}{8} \: , 4 + \frac{2 \times 6}{8}\right)} = \left (8 \:,5.5\right)](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cleft%20%282%20%2B%20%5Cfrac%7B8%20%5Ctimes%206%7D%7B8%7D%20%5C%3A%20%2C%204%20%2B%20%5Cfrac%7B2%20%5Ctimes%206%7D%7B8%7D%5Cright%29%7D%20%3D%20%5Cleft%20%288%20%5C%3A%2C5.5%5Cright%29%20)
Coordinates of point <em>I</em> are;
![\mathbf{\left (2 + \frac{8 \times 7}{8} \: , 4 + \frac{2 \times 7}{8}\right)} = \left (9 \:,5.75\right)](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cleft%20%282%20%2B%20%5Cfrac%7B8%20%5Ctimes%207%7D%7B8%7D%20%5C%3A%20%2C%204%20%2B%20%5Cfrac%7B2%20%5Ctimes%207%7D%7B8%7D%5Cright%29%7D%20%3D%20%5Cleft%20%289%20%5C%3A%2C5.75%5Cright%29%20)
Which gives;
![D→\left (4 \:,4.5\right)](https://tex.z-dn.net/?f=D%E2%86%92%5Cleft%20%284%20%5C%3A%2C4.5%5Cright%29%20)
![E→\left (5 \:,4.75\right)](https://tex.z-dn.net/?f=E%E2%86%92%5Cleft%20%285%20%5C%3A%2C4.75%5Cright%29%20)
![H→\left (8 \:,5.5\right)](https://tex.z-dn.net/?f=H%E2%86%92%5Cleft%20%288%20%5C%3A%2C5.5%5Cright%29%20)
![I →\left (9 \:,5.75\right)](https://tex.z-dn.net/?f=I%20%E2%86%92%5Cleft%20%289%20%5C%3A%2C5.75%5Cright%29%20)
Learn more about distance between points here;
brainly.com/question/10377723
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