Question

Find the coordinates of the midpoint of the segment given its endpoint
F(2,-6) and G(-8,5)

Answer 1

Midpoint Formula : X1+X2/2 , Y1+Y2/2

=> 2+(-8)/2 , -6+5/2

=> -6/2 , -1/2

=> -3 , -1/2

Hence coordinates are ( -3,-1/2)

Answer 2

The coordinates of the midpoint are (-3,-0.5)

GIVEN

Endpoint Coordinates = F(2,-6) and G(-8,5)

TO FIND

The coordinates of the midpoint of the segment

SOLUTION

We can simply solve the above problem as follows

It is given,

(x1, y1) = (2,-6)

And,

(x2, y2) = (-8,5)

Applying the formula to find the midpoint coordinates of the segments

Let the x coordinate of the midpoint be x0

And, The y coordinate of the midpoint be y0/

x0 = (x1 + x2)/2

$x0 = \frac{2 - 8}{2} = - 3$

y0 = (y1+y2)/2

$y0 = \frac{ - 6 + 5}{2} = - 0.5$

So, The coordinates of the midpoint are (-3,-0.5)

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