Math

QuestionFind the midpoint of the segment with endpoints (6,7)(6,7) and (2,1)(2,1).

Studdy Solution

STEP 1

Assumptions1. The given points are (6,7) and (,1). . We are dealing with a two-dimensional Cartesian coordinate system.

STEP 2

The formula to find the midpoint of a segment with endpoints (x1,y1)(x1, y1) and (x2,y2)(x2, y2) is given byMidpoint=(x1+x22,y1+y22)Midpoint = \left(\frac{x1 + x2}{2}, \frac{y1 + y2}{2}\right)

STEP 3

Now, plug in the given values for x1x1, y1y1, x2x2, and y2y2 into the midpoint formula.
Midpoint=(6+22,7+12)Midpoint = \left(\frac{6 +2}{2}, \frac{7 +1}{2}\right)

STEP 4

Calculate the midpoint.
Midpoint=(82,82)Midpoint = \left(\frac{8}{2}, \frac{8}{2}\right)

STEP 5

implify the fractions to get the coordinates of the midpoint.
Midpoint=(4,4)Midpoint = (4,4)The midpoint of the segment with endpoints (,7) and (2,1) is (4,4).

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