Question

Find the coordinates of the midpoint of LB if L(8, 5) and B(-6, 2)

Answer 1

The coordinates of the midpoint of LB are (1, 3.5)

Explanation:

The rule of the midpoint of a segment its endpoints are (x1, y1) and (x2, y2) is
`M=((x1+x2)/(2),(y1+y2)/(2))`

Let us use this rule to solve the question

∵ M is the midpoint of segment LB

∵ The coordinates of point L are (8, 5)

∴ x1 = 8 and y1 = 5

∵ The coordinates of point B are (-6, 2)

∴ x2 = -6 and y2 = 2

→ Substitute these values in the rule of the mid point above

∵
`M=((8+-6)/(2),(5+2)/(2))`

→ Remember (+)(-) = (-)

∴
`M=((8-6)/(2),(7)/(2))`

∴
`M=((2)/(2),(7)/(2))`

∴ M = (1, 3.5)

∴ The coordinates of the midpoint of LB are (1, 3.5)