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).