How do you find the coordinates of the other endpoint of a segment with the given A(-1,4) and midpoint M(3,-2)?

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Answer 1 · 2017-03-31T02:48:25

Coordinates of the other end point is $(7,-8)$

Look at the diagram also enter image source here

Given -
A $(-1,4)$
M $(3,-2)$

To find the mid point you have to use the formula

$(x,y)=(x_1+x_2)/2, (y_1+y_2)/2$

$x=3$
$y=-2$
$x_1=-1$
$y_1=4$

We have to find -

$x_2=?$
$y_2=?$

Plug in the values in the above formula

$(3,2)=(-1+x_2)/2, (4+y_2)/2$

Then -

$(-1+x_2)/2=3$
$-1+x_2=3xx2=6$
$x_2=6+1=7$
$x_2=7$

$(4+y_2)/2=-2$
$4+y_2=-2xx2=-4$
$y_2=-4-4=-8$
$y_2=-8$

Coordinates of the other end point is $(7,-8)$