Question

What are the coordinates of the midpoint of the line segment with endpoints R(4, −7) and S(−3, 5) ?

Enter your answer as a decimal or integer in the boxes.

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Answer 1

The correct answer below

Explanation:

Answer 2

Whenever the question asks us for the midpoint of something, that signals to us that we need to use the midpoint formula, which is
`M = ( (x_1+x_2)/(2) , (y_1+y_2)/(2) )`. Here, we are given two coordinates -
`(4, -7)` and
`(-3, 5)`. All we have to do is locate the values of
`x_1,x_2,y_1,y_2`, and plug it back into the midpoint formula.

`x_1 = 4`

`x_2 = -3`

`y_1 = -7`

`y_2 = 5`
When we plug all the values back into the midpoint formula, we get
`M = ( (4-3)/(2) , (-7+5)/(2) )`. When we simplify, we get that the midpoint of segment
`RS` is
`\boxed{((1)/(2).-1)}`. Hope this helped!