Question

Question 2

2 pts
Use the midpoint formula to find the midpoint of the line segment AB. Show your work for
full credit.
Given (4,8) and B(14,-2)
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Answer 1

`M = (9,3)`

Explanation:

Given

`(x_1,y_1) = (4,8)`

`(x_2,y_2) = (14,-2)`

Required

Find the midpoint (M)

The midpoint is calculated as follows:

`M = ((1)/(2)(x_1+x_2),(1)/(2)(y_1+y_2))`

Substitute values for x's and y's

`M = ((1)/(2)(4+14),(1)/(2)(8-2))`

`M = ((1)/(2)(18),(1)/(2)(6))`

`M = ((1)/(2)*18,(1)/(2)*6)`

`M = (9,3)`

Hence, the midpoint is (9,3)