Question

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

Answer 1

(-1, -9)

Explanation:

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

the midpoints are given by

x ordinate =
`(x1+x2)/(2)`

y ordinate =
`(y1+y2)/(2)`

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

x ordinate =
`(x1+x2)/(2)` = [8 + (-10) ] / 2 = -1

y ordinate =
`(y1+y2)/(2)` = [-10 + (-8) ] / 2 = -9

hence midpoint is (-1, -9)

Answer 2

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

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)