Segment AB has endpoints on the coordinate grid where A is (-18,5) and B is (-4,5). Point Z is located exactly 1/8 of the distance from A to B. Determine the value of the x-coordinate of point Z.

Respuesta :

Answer:

The coordinates of point Z is (-16.25, 5)

Step-by-step explanation:

The given information are;

The coordinates of the endpoint A on segment AB = (-18, 5)

The coordinates of the endpoint B on segment AB = (-4, 5)

Therefore, given that the endpoints A and B have the same y-coordinate value, (5), then segment AB is horizontal, and the length of segment AB = -4 - (-18) = -4 + 18 = 14

The point Z located at exactly 1/8 from A to B is given as follows;

[tex]Z = \left (-18 + (-4 - (-18)) \times \dfrac{1}{8} , \ 5 + (5 - 5)\times \dfrac{1}{8} \right ) = (-16.25, \ 5)[/tex]

The coordinates of point Z = (-16.25, 5).

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