Find the midpoint of a line with the following endpoints. (3, −4), (-5, 4)
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Answer:
(-1,0) is the answer..............
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Step-by-step explanation:
Note: If we have two points A(x1,y1) & B(x2,y2) and let O(x,y) be the midpoint of the line joining AB , then the coordinates of O is given by;
x = (x1+x2)/2
y = (y1+y2)/2
Here, the coordinates of the end points are (3,-4) and (-5,4).
Let,
x1 = 3
y1 = -4
x2 = -5
y2 = 4
Thus, the mid point of the of the line segment will be ;
x = {3+(-5)}/2
x = {3-5}/2
x = -2/2
x = -1
y = {-4+4}/2
y = 0/2
y = 0
Hence, the required coordinates of the mid point is (-1,0).
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