QuestionFind the midpoint of the segment with endpoints $E(2.5,-7)$ and $F(-6.2,-3.8)$ .

Studdy Solution

STEP 1

Assumptions1. The coordinates of point are (.5, -7) . The coordinates of point F are (-6., -3.8)

STEP 2

The formula to find the midpoint of a line segment with endpoints $(x1, y1)$ and $(x2, y2)$ is given by $(\frac{x1 + x2}{2}, \frac{y1 + y2}{2})$

STEP 3

Now, plug in the given values for the coordinates of points and F into the formula to find the midpoint.
$Midpoint = (\frac{2.5 + (-6.2)}{2}, \frac{-7 + (-3.8)}{2})$

STEP 4

Perform the addition in the numerator of each fraction.
$Midpoint = (\frac{-3.7}{2}, \frac{-10.8}{2})$

STEP 5

Perform the division in each fraction to find the coordinates of the midpoint.
$Midpoint = (-1.85, -5.4)$ The midpoint of the line segment with endpoints at $(2.5,-7)$ and $(-.2,-3.8)$ is $(-1.85, -5.4)$ .

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