Question

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

Answer 1

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:

`M=((x_1+x_2)/(2),(y_1+y_2)/(2))`

And if we start with the x coordinate we got:

`-10=(-4+x_2)/(2)`

And solving for x2 we got:

-20 = -4+x2

x2= -20+4=-16

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

`9=\frac{8+y_2_{}}{2}`

And solving for y2 we got:

y2= 9*2 -8

y2= 18-8=10

And the coordinates are:

(-16,10)