QuestionFind the midpoint coordinates of segments with endpoints: M(7,1) & N(4,-1), J(5,-3) & K(3,-8).

Studdy Solution

STEP 1

Assumptions1. The coordinates of the first endpoint are given. . The coordinates of the second endpoint are given.
3. We are looking for the midpoint, which is the point equidistant from both endpoints.

STEP 2

The formula for finding the midpoint of a segment with endpoints $(x1, y1)$ and $(x2, y2)$ is given by $Midpoint = \left(\frac{x1 + x2}{2}, \frac{y1 + y2}{2}\right)$

STEP 3

For the first pair of points, $M(7,1)$ and $(,-1)$ , plug in the given values into the midpoint formula.
$Midpoint = \left(\frac{7 +}{2}, \frac{1 + (-1)}{2}\right)$

STEP 4

Calculate the coordinates of the midpoint.
$Midpoint = \left(\frac{11}{2}, \frac{0}{2}\right)$

STEP 5

implify the coordinates of the midpoint.
$Midpoint = (5.5,0)$

STEP 6

For the second pair of points, $J(5,-3)$ and $K(3,-8)$ , plug in the given values into the midpoint formula.
$Midpoint = \left(\frac{5 +3}{2}, \frac{-3 + (-8)}{2}\right)$

STEP 7

Calculate the coordinates of the midpoint.
$Midpoint = \left(\frac{}{2}, \frac{-11}{2}\right)$

STEP 8

implify the coordinates of the midpoint.
$Midpoint = (4, -5.5)$ The coordinates of the midpoints are $(5.5,0)$ and $(4, -5.5)$ .

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