Respuesta :

Distance fro te origine (zero) to Q = 8
Distance fro te origine (zero) to L = -4
Mid distance of QL = (8-4)/2 = 2, this correspond with the point N

The midpoint of LQ is N.

Given:

[tex]L = -4[/tex]

[tex]Q = 8[/tex]

The midpoint of LQ is half the distance between point L and Q.

Thus:

[tex]\frac{1}{2} LQ = \frac{LQ}{2}[/tex]

[tex]= \frac{|-4 - 8|}{2}\\= \frac{12}{2}\\= 6 $ units[/tex]

Therefore, the midpoint of LQ would be 6 units away from point L.

Which is:

[tex]-4 + 6 = 2[/tex]

The coordinate of N on the numberline is N, therefore, the midpoint of LQ is N.

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