Question

P(1, 10)and Q(7,4) are the endpoints of a line segment. What is the midpoint M of that line segment

Answer 1

M = (4, 7)

Explanation:

Using the midpoint formula

M = [
`(1)/(2)`(x₁ + x₂ ),
`(1)/(2)`(y₁ + y₂ ) ]

with (x₁, y₁ ) = P(1, 10) and (x₂, y₂ ) = Q(7, 4)

M = [
`(1)/(2)`(1 + 7),
`(1)/(2)`(10 + 4) ] = (4, 7)

Answer 2

(4, 7)

Explanation:

The midpoint formula is (((x1 + x2)/2), ((y1+y2)/2)))

x1 +x2 = 1 +7 = 8

8/2 = 4

y1 + y2 = 10 + 4 = 14

14/2 = 7

(4, 7) is the midpoint