Question

find the coordinates of the point which line segment joining A(-2,2) and B(2,8) into four equal parts.

Answer 1

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Line AB can be shown as $y=\frac{3}{2} x+5$.

Here comes the tricky part :

As distance between AB on x-coordinate is 4,

the lines x=-1, x=0, x=1 will divide.

When x-coordinate is -1

$y=\frac{7}{2}$

When x-coordinate is 0

$y=5$

When x-coordinate is 1

$y=\frac{13}{2}$

Answer 2

Answer:

The Answer is in the given attachment solved by me.

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Peace!