A line segment is a straight line with finite length, and thus, have to endpoints(points on either end). The correct options are 2, 3, and 5.
<h3>What are the coordinates of the midpoint of the line segment AB?</h3>A line segment is a straight line with finite length, and thus, have to endpoints(points on either end).
Suppose we've two endpoints of a line segment as A(p,q), and B(m,n), Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:
and
The midpoint of the points P(3, –1) and Q(–7, –6) is,
x = (-7+3)/2 = -4/2 = -2
y = (-6-1)/2 = -7/2 = -3.5
Now, if we look at the options, the third option will give as the value of the x-coordinate as,
[(1/2)(-7-3)] + 3
= [(1/2)(-10)] + 3
= -5 + 3
= -2
This is the actual coordinate of the midpoint, therefore, this option is correct.
Similarly, the option two expresses the y-coordinate of the midpoint,
(-1 - 6)/2 = -3.5
Also, option five correctly depicts the value of y-coordinate,
-(5/2)-1 = -2.5 - 1 = -3.5
Hence, the correct options are 2, 3, and 5.
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