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Find the coordinates of the missing endpoint if E is the midpoint of . F(5, 8), E(4, 3) Responses

User Roncansan
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To find the missing endpoint, we can use the midpoint formula.

The midpoint formula states that the coordinates of the midpoint between two endpoints (x₁, y₁) and (x₂, y₂) are given by the average of the x-coordinates and the average of the y-coordinates.

In this case, we know that E is the midpoint, with coordinates (4, 3). One endpoint is F(5, 8).

Let's denote the missing endpoint as G(x, y).

Using the midpoint formula, we can set up the following equations:

x = (5 + x) / 2
4 = (8 + y) / 2

Simplifying these equations, we get:

2x = 5 + x
8 = 2(4) + y

Solving for x and y:

2x - x = 5
x = 5

8 = 8 + y
y = 0

Therefore, the missing endpoint G has coordinates (5, 0).
User Tofro
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