The x coordinate of Z is -4. The y coordinate of Z is -2. I
Y is the** midpoint** of XZ. X has coordinates (2,4) Y has coordinates (-1,1)
Z will have coordinate (-4,-2).
What is midpoint of a line segment ?
The midpoint of a **line segment **can be obtained by adding the coordinates of the two **endpoints **of a line segment.
(x₁ ₊ x₂)/2 and (z₁ + z₂)/2
In the given question midpoint is given which is equidistant from both the endpoints from this** logic** and the data given in the question we observe than the first endpoint and the midpoint has a distance of 3 units on the left so from the midpoint Z will also have the same. This way Z will have coordinates (-4,-2).
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To find the coordinates of point Z, we use the midpoint formula which states that Y is the midpoint of segment XZ. By plugging in the coordinates of X and Y, we solve for Z's coordinates, which are (-4, -2).
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