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forestmaster
This is easy to calculate as the line is straight vertical. There are 7 units in between the two end points of the line segment, so dividing this by 2 will give you the units from an end point to the mid point. 7 ÷ 2 = 3.5. Subtracting 3.5 from the higher y-value or adding it to the lower y-value gets you (5, 0.5).

Answer: The correct option is (B) [tex]\left(5,\dfrac{1}{2}\right).[/tex]

Step-by-step explanation: We are given to find the midpoint of the line segment shown in the figure.

From the figure, we see

a line segment with co-ordinates of the endpoints (5, 4) and (5, -3).

We know that

the co-ordinates of the midpoint of a line segment with endpoints (a, b) and (c, d) is given by

[tex]M=\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).[/tex]

Therefore, the co-ordinates of the line segment shown is given by

[tex]M=\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right)=\left(\dfrac{5+5}{2},\dfrac{4-3}{2}\right)=\left(5,\dfrac{1}{2}\right).[/tex]

Thus, (B) is the correct option.

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