Question

Find the midpoint of the segment between the points (8,-10) and (-10,-8)

Answer 1

Answer:

The the midpoint of given line segment = (-1, -9)

Step-by-step explanation:

Points to remember

Midpoint formula

Midpoint of a line segment with end points (x₁, y₁) and (x₂, y₂) is given by,

Midpoint = [( x₁ + x₂)/2 , (y₁ + y₂)/2]

To find the midpoint of given line segment

Here (x₁, y₁) = (8, -10) and (x₂, y₂) = (-10, -8)

Midpoint = [( x₁ + x₂)/2 , (y₁ + y₂)/2]

 = [(8 + -10)/2 , (-10 + -8)/2]

 = [-2/2, -18/2]

 = (-1, -9)

Therefore the midpoint of given line segment = (-1, -9)

Answer 2

Answer:

(-1, -9)

Step-by-step explanation:

Recall that for 2 points (x1, y1) and (x2,y2)

the midpoints are given by

x ordinate = $\frac{x1+x2}{2}$

y ordinate = $\frac{y1+y2}{2}$

In our case x1 = 8, y1 = -10, x2 = -10, y2=-8

x ordinate = $\frac{x1+x2}{2}$  = [8 + (-10) ] / 2 = -1

y ordinate = $\frac{y1+y2}{2}$ = [-10 + (-8) ] / 2 = -9

hence midpoint is (-1, -9)