: Use the formula from Part I to find the midpoint of the segment with endpoints at (-2, -1) and (0, 9). Show your work.
the midpoint is the average of the endpoints. That is, halfway along in both x and y directions.
To find the midpoint of a segment with endpoints (-2, -1) and (0, 9), you can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint are the average of the coordinates of the endpoints.
Let's denote the coordinates of the first endpoint as (x₁, y₁) and the coordinates of the second endpoint as (x₂, y₂).
Given:
First Endpoint: (-2, -1)
Second Endpoint: (0, 9)
We can find the midpoint (x, y) using the midpoint formula:
x = (x₁ + x₂) / 2
y = (y₁ + y₂) / 2
Plugging in the values:
x = (-2 + 0) / 2 = -1
y = (-1 + 9) / 2 = 4
Therefore, the midpoint of the segment with endpoints at (-2, -1) and (0, 9) is (-1, 4).
Work:
x = (-2 + 0) / 2 = -2 / 2 = -1
y = (-1 + 9) / 2 = 8 / 2 = 4