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# Straight line Graphs

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what is the formula for finding point A on a line graph when only the coordinates of the midpoint and point B are known?

thanks

Walthamx  Nov 26, 2017
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Remember that to find the x coordinate of the midpoint  we add the x coordinates of the two endpoints and divide by 2 and do the same for the y coordinates to find the y coordinate of the midpoint

So...we have that

[ Ax + Bx ] / 2     = x coordinate of the midpoint

So.......

Ax + Bx  =   2 * x coordinate of the midpoint

Ax  =   2 * x coordinate of the midpoint  - Bx

Similarly

[Ay + By ] / 2  =  y coordinate of the midpoint

Ay + By   =  2 * y coordinate of the midpoint

Ay  =   2 * y coordinate of the midpoint -  By

CPhill  Nov 26, 2017

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