Answered

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The coordinates of midpoint M and endpoint C of a segment are M(-10,9) and C(-4,8). Find the coordinates of the other endpoin

Sagot :

Problem

The coordinates of midpoint M and endpoint C of a segment are M(-10,9) and C(-4,8). Find the coordinates of the other endpoin

Solution

For this case we know that the midpoint is given by:

[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

And if we start with the x coordinate we got:

[tex]-10=\frac{-4+x_2}{2}[/tex]

And solving for x2 we got:

-20 = -4+x2

x2= -20+4=-16

Now we cna do the same procedure with the y coordinate:

[tex]9=\frac{8+y_2_{}}{2}[/tex]

And solving for y2 we got:

y2= 9*2 -8

y2= 18-8=10

And the coordinates are:

(-16,10)

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