SOLUTION: Find the coordinates of the midpoint of the segment with endpoints (-8, -3) and (1, 6).

Question 113469This question is from textbook
: Find the coordinates of the midpoint of the segment with endpoints (-8, -3) and (1, 6). This question is from textbook

Found 2 solutions by checkley71, jim_thompson5910:
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
THE X DISTANCE=(1+8)/2=4.5 OR -8+4.5=-3.5
THE Y DISTANCE=(6+3)/2=4.5 OR 6-4.5=1.5
THEREFORE THE MID POINT IS (-3.5,1.5)
THE PROOF IS IN THE GRAPHING OF THESE 2 POINTS, DRAWING THE LINE & THEN PLOT THE MID POINT.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
In order to find the midpoint between the points (-8,-3) and (1,6), we need to average each corresponding coordinate. In other words, we need to add up the corresponding coordinates and divide the sum by 2.

So lets find the averages between the two points

To find , average the x-coordinates between the two points

So the x-coordinate of the midpoint is -3.5 (i.e. x=-3.5)
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To find , average the y-coordinates between the two points

So the y-coordinate of the midpoint is 1.5 (i.e. y=1.5)
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Answer:
Since the coordinates of the midpoint are x=-3.5, y=1.5, this means the midpoint is (-3.5,1.5)

Check:
Here is a graph to visually see the answer
Graph of the line segment with the endpoints (-8,-3) and (1,6) with the midpoint (-3.5,1.5)

We could visually verify our answer if we simply draw right triangles from each point like this:

Here we can see that the two triangles are congruent (they both have a right angle and equal leg lengths), so our answer is verified.

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